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Find the length of the hypotenuse of an isosceles right angled triangle whose area is 200 cm^2. Also find its perimeter

Find the length of the hypotenuse of an isosceles right angled triangle whose area is 200 cm^2. Also find its perimeter

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1 Answers

Yash Baheti IIT Roorkee
askIITians Faculty 97 Points
6 years ago
Hi
Isosceles right angled triangle MEANS perpendiculat and base are equal.
Now area of triangle is 1/2(base)(height)= 200
(base)(height)= 400 but base and geight are equal that means..
base^2 = 400
base= 20
So height = 20
by pythagoras theorem : Hypoteneous = 20root(2)

Now find the perimeter by adding all the sides.

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