00:00Hello everyone welcome back to my channel

00:01friends, today's video is a very lotus

00:03video because friends today I am going to teach you if you find

00:05inside counting figures

00:08

00:10then this video is going to be very lotus, you will

00:12definitely watch this video till the end.

00:14Because friends, first of all I have

00:15brought basic questions for you,

00:18your concepts will become clear from basic questions,

00:19after that we will solve difficult

00:22questions as well. Friends,

00:23please watch this video till the end. If you

00:25like the video then like it and write a good comment.

00:27And friends, please share this video as much as

00:29possible. So friends, let's start

00:31today's video.

00:34So friends, first of all I will tell you

00:36how to find the number of triangles of Sikhaunga.

00:38Friends, finding the

00:39number of triangles inside the counting figure is quite

00:41difficult. When advanced level figures are

00:43asked, but friends, to solve advanced level

00:45figures, your basic

00:48concept should be clear. If the basic concept is

00:50clear, then

00:52you will be able to solve even the most difficult figures, that is why

00:54friends, I have taken all these figures. So

00:56that I can clear your concept,

00:58first of all friends, you will see here

01:00how many number of triangles are there in this figure,

01:03then you will be able to tell that this is a van,

01:05this is a tu and when a big triangle is

01:08given outside then the total triangle which is There will be three,

01:10okay, but friends, if you

01:13come to this figure, then there will be some confusion

01:15as to what will be the number of triangles and when you

01:17go to find this figure, there will be even more

01:20confusion, but friends, I have brought such software for you, no

01:23confusion only solution.

01:25Now see, what will

01:27happen here, all you have to do is to do the numbering,

01:30here van here, 2, this numbering is

01:33done, what will you do after that, by doing van plus,

01:35this will be your answer, number of

01:37triangle, there is three in this figure, okay

01:40see here. Let's take it here friends, you will

01:42write van here, you write three here, I have written this,

01:45after that friends, I will write 1 + 2 + 3,

01:48I will plus these three, then

01:50this will be A, mine will be 6 A, but

01:52in your mind, perhaps the number till will come.

01:54How did triangle six come here, here is one, two,

01:57three and here is four, but friends, if you

02:00pay attention then by mixing these two also a

02:03triangle is formed. Okay, then by mixing these two

02:05also a triangle

02:07is being formed, so there are many such. There will be triangles

02:09inside it due to which we get confused, that is why

02:11this formula has been made. Okay, now friends,

02:14look here, what will you do here,

02:16friends, you have to see how much is inside the base,

02:18here one two three four punch means one

02:22two three four punch, this is me. I have written it, now add

02:26all these plus, here friends, I have

02:28written 1 + 2 + 3 + 4 + 5, I have written 5 + 49

02:33+ content plus 515, so here I have

02:37written 50, but friends, the number of

02:39triangle is not 15. It is more than that

02:40because friends, there is a base here,

02:4315 are being built in this base, there is also a base here, so if

02:46you count the vans here, then 15 plus

02:49vans, after that friends, there is a base here too, there are

02:51vans here and here you will So

02:55friends, how much will be the number of triangles here? If

02:561 + 2 becomes 3, then here also +3 will have to be done.

02:59So friends, what will be the total. There will be total 19

03:03triangles inside this figure, so there will be such

03:06figures too. You will be able to solve it if you

03:09clear this concept. So now I am going to

03:11teach you that if you are given a figure like this,

03:13then how will you find the number of triangle?

03:15Simple, what to do, friends, you have to

03:18do the number, van tu three four,

03:21you have written where the end will be, friends,

03:24what will you do there 4 * 2 Your answer will become 8. It

03:27means double it. Let me

03:30explain it to you here. If you did

03:32not understand here, then what will you do here friends? Will you

03:34do the number when you

03:37get three four five six seven? You have written this number and

03:40end. kismen hua at pe hua hua, then

03:43coming here you will write multiply by and

03:45your answer will be that the

03:47number of triangles inside this figure will be 16.

03:50

03:58Now if it is not there then what will you do, if you

04:00do the numbering here then it will be 1 2. I have written 3 4 5 6 7 8

04:06here, friends, how much will be 8 * 2,

04:09look inside, we will

04:11number again, we will write here 1 2 3 4 5 6

04:157 8, we will write 8 * 16, we will add both of them,

04:20then here Friends, the number of

04:22triangle will be 32, so I

04:26hope that whatever I have

04:27taught you here, you have understood it. Now

04:30friends, I am taking more questions so

04:31that I can clear your concept better,

04:33so let's go friends. I have

04:36brought more questions for you, see, if

04:37such a figure comes in the exam and you are

04:39asked to find the number of triangles,

04:41then how will you find it? Friends, see,

04:44we have kept it at an advanced level, but if you have to

04:46solve it, then first of all You will have to

04:49solve this basic problem, you will have to learn it, only then you will be

04:51able to solve it. Let's

04:54start, first of all friends, you have

04:56seen in festivals, here is a

04:58triangle, here is a triangle,

05:00here is a triangle, here is

05:02how many inside a triangle. There is a triangle, there are four triangles

05:04and there is a triangle outside, so

05:07what will happen here, how much will 4 + 1 be, friends, there will be 5

05:10numbers of triangles, you have learned this

05:12and I am giving this in a shortcut trick,

05:14I see, a triangle is being formed inside,

05:15right? So one line cut means you have to count four,

05:18okay and here plus one, the

05:21triangle which will be outside has been cleared, so let's

05:23solve it with this short trick, now

05:25see, this triangle is inside, so

05:28I have put one here. So I came to

05:30know that here there will be phone numbers and

05:32triangles inside and there is one triangle, if I

05:34draw a line here and one

05:36becomes four, then I wrote four here, then

05:38what happens friends, add one triangle outside. If it

05:40happens, then how much will be 4 + 4?

05:43How much will be 8? Friends, how much will be 8 + 1. That

05:45means the number of triangles inside this figure will be

05:48nine. Friends, this much is clear. Now

05:51I am going to understand you here that here you

05:52will see how much triangle is formed inside.

05:55One has been made, see, who is going to do this

05:57?

05:59Friends, if there is one more triangle,

06:02then how much will it be, will it be four, so here I

06:04write four inside that too, and if there is a

06:07triangle, then friends, draw a line here

06:08and I am here. But I will write four,

06:10okay then what will you do friends? Let's do the

06:13plus of the outer triangle, so

06:15see here, there are 443 times, so 3 * 4 = 12, 12 +

06:181 13, so 13 will be the number of triangles in this figure.

06:21It is clear now, friends. I am

06:24going to learn this one, first of all what do you have to do,

06:26friends, look here, there is a

06:28triangle inside, okay, I have

06:31drawn a line here and here I have

06:33written four, okay then you will look inside and there

06:35is a triangle, then what will be four? So here

06:37I have written four and the outside triangle,

06:39friends, here van is 4 + 48 8 + 1 9,

06:43I have written this because friends, you will see that it is exactly

06:45from you, is there a

06:48difference here, one line here like this.

06:51A is gone and this figure has become simple, isn't it?

06:54Now what will you do friends, what is the change

06:56here, see here one line means two

07:00triangles, okay one line means two triangles,

07:03so here there are two, here there are two and here there are

07:06two. So what will be the total, here

07:09Tu Tu and Tu will be total six triangles, so

07:11here what will be 9 + 6, friends, it will be 15.

07:14Now this will come in your mind sir, you had

07:17taught earlier that this is the base, so this is one van and

07:20tu tu plus van. There should be three here,

07:22how are you telling me, but friends, when I

07:25taught you this concept of 4 + 1,

07:28

07:30this triangle was already counted within it, so

07:33why would you count it again

07:35here? You have already counted, that is

07:38why you are counting this van and you

07:41because here there is line A, so there are two

07:44triangles. You have already counted these triangles,

07:46here you have understood, that is why

07:4915 will come here, I hope

07:51friends. Whatever I have explained to you, have you understood it.

07:54Still, if you have any doubt,

07:56please do so by commenting. Now friends, I am going to take very high

07:59level questions which is

08:01very important for you, so

08:03

08:04let's start. So friends, now I am going to tell you. This is the

08:06most important question which has been

08:08asked many times in the exam. Friends, this

08:10type of figure was asked here. To find the number

08:12of triangles, how will you find it?

08:14First of all, friends, you have to see what kind of

08:16figure is here.

08:18

08:20From here you will see van tu three, from here

08:23also you will see 1 2 3 and from here also see

08:251 2 3 So there will be figures of this symmetry type

08:28so usmein how to solve how to find the number

08:29of triangles, I am going to tell you that.

08:31Pay attention, here

08:33first of all you will write the numbering here, van

08:35here you and three here, you have written it,

08:37what will you do after that friends, you

08:40will write van here, 2 here three,

08:43you have written this, after that see van

08:45of van here. I have written down here how much will be 1 + 2, that will be

08:48three and here, if you have to add three to three

08:51then what will happen, friends, it will be six, what to do

08:53after that, if you have to add these three

08:56numbers then how much will be 6 + 3, then how much will be

08:589 will be 9 + How much will 1 be? 10 and the

09:02answer has not come yet because

09:04you have to do something else. What you have to do is

09:06leave the number below. Take the first number

09:09and leave it here. You will have to

09:11follow the pattern like this and there will be more numbers. If there

09:13are, then you will have to follow the same pattern

09:16that you will leave the lower number, then people will

09:18leave, then you have to take it, then you have to leave it, this is

09:20how it has to be maintained, okay then what will

09:23you do friends, if there is three A here then

09:25you will do +3 here. And your answer will be 13. It

09:28means the number of triangles inside this figure is

09:3113, so I hope you have understood.

09:34If not, then

09:36this figure is here.

09:38Now friends, you will understand here. You will also see on this page that this

09:41is also a symmetry type figure dekhiae 1 2

09:433 4 here 1 2 3 4 here friends 1 2

09:483 4 It is done now what will I do here 1

09:522 3 4 I have written and here I will write

09:55van here You write three here and

09:58four here, I have written this, what will I do then,

10:00friends, I will write here, if there is van, then I will

10:02write van here, then friends, I will

10:04add 1 + 2 to the cross, how much will it be,

10:07friends, it will become 3, then friends, 3 in 3 +

10:10What will happen if I do six? Okay, so

10:13what will I do in six? Friends, if I do plus 4,

10:15what will be 6 + 4? It will be 10.

10:17Now if all these numbers are to be plus then what will be 10 +

10:216? What will be 16? 16 + 3 = 19 and

10:24I have written down what will be 19 + 1,

10:27what will happen after that, friends, you will

10:29follow what I taught you,

10:30first of all you will cancel the number which is below,

10:33people take this number, then you will cancel

10:35and people take this number. And what you have

10:38ticked is that you have to add the number

10:40plus, then how much will be 6 + 1, if it

10:43is 7 then you will write plus 7 and here 27 will be the

10:47answer, you mean the number of triangle in this figure is

10:5027. Now friends, I

10:53want to tell you that I also have a shortcut for this,

10:54but why have I done this

10:57method, I will also tell you the reason, the shortcut

10:59is cap, listen to it, the shortcut is that there is

11:01no need to go through so much trouble,

11:04what you have to do here. dekhiae, there is one base,

11:06okay here, dekhiae, there is second base, here,

11:09dekhiae, there is a third base, so what to do,

11:12you have to square the base,

11:14okay, then how much will be the square of three,

11:17yours will be 9, and what to do in 9, my

11:20friends. If you want to multiply by -5,

11:23then what will be 9 * 2? 18 will be -5. If you

11:26do this then your answer is 13.

11:28Here is your answer.

11:31You have to maintain this type of formula. Now you will

11:34say, remember this method. There is nothing left,

11:36tell me, I have another method, how

11:38here 1 2 3, then you have four five here and

11:42here friends 6 and 7 8 9, that means

11:46you have to count everything, are you okay with these short,

11:47what should I do after that? If there is an end in nine

11:50then it will be 9 * 2 - 5 then it will be 9 * 2 = 18 - if

11:55you do 5 then it will be 13 A,

11:58we would have seen the answer here also, here you had done the

12:01numbering, I will erase it and

12:03I will also I start from here 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

12:06and 16 I have

12:14written 16, what should I do now where the

12:16end is 16 * 2, what is friends,

12:1832 is 32, after coming 32, mines. If you

12:22do five then your answer will be ejili 27 A. It

12:26seems very simple to you but friends, I have done complete

12:29research and have come up with this which

12:32comes less only in three and four. If six A is given then it does

12:35not come less and the wrong answer

12:38is A. So that's why I taught you this

12:41method, this method is such a method that

12:44if your answer is three, four, five, six or six,

12:49then it is your choice, either

12:52you understand that three or four will come,

12:55then you can do this formula. Take it and six will

12:58come, then it is okay to use this formula,

13:00so I hope you have understood,

13:02friends, now I am bringing more questions for you,

13:04so let's start,

13:05friends, I have brought high level questions for you,

13:08see if like this If a question

13:09comes in the exam and you are asked how to

13:11calculate the number of triangle, then a

13:14lot of confusion will be created, but

13:15friends, as you know,

13:18I always bring a shortcut trick for you, so

13:20friends, here I am teaching you

13:21how to calculate the number. You will find the off triangle,

13:23first of all you reduce it, forget the whole figure,

13:26remember only this figure, see this much figure, remember

13:28each

13:32thing one by one, then see it carefully, everyone

13:35will understand, then if I focus on this figure.

13:37So see this box 1 2 3

13:414 I taught you that if we

13:43say number of triangle inside such a box then the last number

13:46is four then what do we do, how much will 4 * 2 be, it will become

13:488, it is clear that

13:51means this number of inside the box.

13:53How many triangles will be there,

13:54I have written here, then friends, you will

13:56see that there is a triangle here,

13:59van and there is a triangle here, so one more one,

14:02how much will be two, you will

14:05pay attention, friends, there is a point here,

14:08a point here. There is a point so there is

14:12a point here and here is this

14:15line this line means to say in this way in this way so

14:18what did I teach you earlier when what will

14:20you teach

14:23or find in the figure, here is van and here is you. It

14:25happens and how much will be tu plus van, it will be 3,

14:27then this is the dot I have put, your

14:30three triangle form is being formed in it, so here

14:32I have written plus three, then how much will be 8 + 2, how much will be

14:3410, how much will be 10 + 3, friends, it will be

14:3713. So this will be the complete number of 13 triangles from this figure. So

14:40if you

14:43look at this figure then what will happen from here also,

14:45friends, if 13 number of triangles will come out

14:47then 13 + 13, I write here

14:5013 + 13 26 numbers of triangles now. Till

14:54I got it, after that friends,

14:56look here in the middle, then van here,

14:582 here, three here, four, so

15:01what will happen here is 4 * 2, the total number of triangles from this figure,

15:05friends, will be 8, so here I am

15:07plus 8. I will do it and your answer

15:10will be 34, you will think it is right but friends, 34 is not the

15:13right answer because friends,

15:15if you look carefully here, if you see the point here, see this point, see the point here,

15:18

15:21and if you see this point, then

15:23I have shown you this big figure exactly.

15:26You will see something like this, so when the figure is A then

15:29how do we find the number of triangle?

15:31We know how much is van and tu plus van, what is

15:33three, then what to do here,

15:35friends, in 34 you have to add plus three. Friends, if

15:38your answer comes to 37 then

15:42option C is D, then the right answer is I hope that

15:45friends, whatever I have explained, I have

15:46understood you, so come on friends, let's come in front of you friends, I have

15:49

15:51brought one more question for you, friends,

15:52you should understand such a question. So how will you solve the

15:54number of triangles, now

15:56I am going to learn that, first of all

15:58friends, you will see that if you see a

16:00square here and if the design was given like this then

16:02what would you have to do 1 2 3 4

16:05You have written this After this, friends,

16:08multiply by 4, what will happen to you, it will be 8, that means

16:10

16:12how many number of triangles will be inside this square, what will you do after that,

16:14friends, see there is a

16:16triangle on the side and here there is another triangle on this side,

16:18then how much will be 1 + 1? If you

16:20go, it will be 8 + 2. Here, but

16:23friends, where are the two triangles left?

16:26Look here, look at this one

16:28point, look at this one point, and

16:30look at the point from here, how much will this triangle be, it will

16:32become one, then look. If

16:35you look here, there is another triangle hidden, then

16:37how much will be 1 + 1, it will be 2, then friends,

16:40how much will be 10 + 2, it will be 12, so I hope

16:43friends, you have understood,

16:45this option is A, D is the right answer, so friends,

16:48and one. Question, I have brought one more question for you,

16:49friends, come with this question, this is the

16:51question, friends, you have to find the

16:52number of triangles, you have to find it,

16:54so if you look carefully,

16:56ijili, you will see three triangles,

16:58you are fine, but friends, three.

17:01Apart from the triangle, there are other triangles too,

17:03see how to do it, look here,

17:06another triangle is being formed from this joint, first reduce the

17:09three triangles that you can see easily,

17:11write them here, then see

17:13here, then I have written them. After this,

17:15friends, you will see that from this point, this point and

17:18this point, a triangle is being formed.

17:19Dekhiae, I have made it in such a way that you can

17:22understand it better. Okay,

17:23this is formed. Dekhiae,

17:28in the middle, I have written plus van here.

17:32After that, friends, you will see this.

17:34From point to this point and this point, here also

17:38a triangle is being formed, our

17:41triangle is being formed in this way, so here we will write one more

17:43van, then 3 + 1 4 + 1 5 + 1 = 6, so this is the

17:48number off inside the figure. What will be the triangle?

17:50Friends, Option C is D. Right answer is, I

17:54hope friends, whatever I have

17:55taught you in this video, you have understood.

17:57If you like this video, friends, then

17:59like it and write a good comment so

18:02that such videos can be made available to you. And we can make it

18:05and friends, don't forget to share this video.

18:07Friends, if you share then

18:09many people who do not know this thing

18:12also come to know and learn new things.

18:14So friends, you are one less person in this.

18:16Do share it as much as you can and if you are

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18:24get new videos every day, so

18:27friends, see you again with a new video, till

18:29then keep learning, keep learning.

18:31Keep giving love like this, see you

18:33in the next video, till then remember Allah Hafiz in your prayers.

18:35