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High students in this video, let's discuss a shortcut to find the answer to this question.

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We have already solved this question.

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Let's assume that we have reached to the stage where we have found that QR is equal to nine hours,

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is equal to 16, and B, are is equal to 12.

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All right.

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Now let's dig a few Pythagorean triplets over here and analyze the ingredients and sock'em radius in

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these triangles.

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All right, now, if a triangle has the sides three, four and five, and this is a Pythagorean Triplette,

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the radius will be equal to one and these are communities will be equal to 2.5 already.

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Now, you can check it out using the same method that we have followed in the previous video.

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The area of this triangle over here will be half into three into four.

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Right.

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And you can equate this two in radius, in the same perimeter.

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And with that, you can get the radius.

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You will find that the radius in this case is equal to one.

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Now, you can use the formula that the area is EBC by four hour to find these are common areas.

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And you will see that in this case, the Zakim radius is equal to two point five centimeters.

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All right, let's move on now.

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Over here, you can see that if you want to get to the Pythagorean Triplette, six, eight, ten from

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three, four, five, you need to multiply with two right across these numbers.

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You need to multiply with two.

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That's three in the two.

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Gives you six or in the two gives you eight and five in the two gives you ten.

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Now the radius and issaka radius follow the same pattern.

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Therefore, in this case the radius is two in the one that's two and two point five into two, that's

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five.

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So you get the radius as two and sock'em radius as five.

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Now what about nine, 12 and 15?

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You need to multiply three, four, five with three.

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Right.

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To get to nine, 12 and 15 to the radius is three and one.

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That's three and three in the two point five.

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That's seven point five.

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And over here you need to multiply with four to get to 12, 16 and 20.

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Therefore the radius is four and the Zakim radius is equal to ten and is 2.5 in two.

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For now.

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You will get a lot of questions where the triangles will be of three, four, five or six, eight,

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ten, etc..

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Right now, in this case, you can see that the sides of this triangle is 15, nine and 12.

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That's despite the current split over here.

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So definitely the radius over here will be three.

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And what about this triangle?

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You have twenty, sixteen and twelve, but that's despite the good intraplate.

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Therefore, the radius will be for.

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Therefore, the answer to this question is three plus four, which is equal to seven.

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Now, if you are aware of this pattern and if you remember this pattern, you can do this question in

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this manner also.

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And that speed ends up maybe by a minute more.