High students in this video, let's discuss a shortcut to find the answer to this question.
We have already solved this question.
Let's assume that we have reached to the stage where we have found that QR is equal to nine hours,
is equal to 16, and B, are is equal to 12.
All right.
Now let's dig a few Pythagorean triplets over here and analyze the ingredients and sock'em radius in
these triangles.
All right, now, if a triangle has the sides three, four and five, and this is a Pythagorean Triplette,
the radius will be equal to one and these are communities will be equal to 2.5 already.
Now, you can check it out using the same method that we have followed in the previous video.
The area of this triangle over here will be half into three into four.
Right.
And you can equate this two in radius, in the same perimeter.
And with that, you can get the radius.
You will find that the radius in this case is equal to one.
Now, you can use the formula that the area is EBC by four hour to find these are common areas.
And you will see that in this case, the Zakim radius is equal to two point five centimeters.
All right, let's move on now.
Over here, you can see that if you want to get to the Pythagorean Triplette, six, eight, ten from
three, four, five, you need to multiply with two right across these numbers.
You need to multiply with two.
That's three in the two.
Gives you six or in the two gives you eight and five in the two gives you ten.
Now the radius and issaka radius follow the same pattern.
Therefore, in this case the radius is two in the one that's two and two point five into two, that's
five.
So you get the radius as two and sock'em radius as five.
Now what about nine, 12 and 15?
You need to multiply three, four, five with three.
Right.
To get to nine, 12 and 15 to the radius is three and one.
That's three and three in the two point five.
That's seven point five.
And over here you need to multiply with four to get to 12, 16 and 20.
Therefore the radius is four and the Zakim radius is equal to ten and is 2.5 in two.
For now.
You will get a lot of questions where the triangles will be of three, four, five or six, eight,
ten, etc..
Right now, in this case, you can see that the sides of this triangle is 15, nine and 12.
That's despite the current split over here.
So definitely the radius over here will be three.
And what about this triangle?
You have twenty, sixteen and twelve, but that's despite the good intraplate.
Therefore, the radius will be for.
Therefore, the answer to this question is three plus four, which is equal to seven.
Now, if you are aware of this pattern and if you remember this pattern, you can do this question in
this manner also.
And that speed ends up maybe by a minute more.