SOLUTION: find the perimeter of an isosceles right triangle which has the area of 200 cm please help me solve this question

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Question 987948: find the perimeter of an isosceles right triangle which has the area of 200 cm
please help me solve this question
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Either leg, x.
Such a triangle is half of a square, and each leg serves as base or height.
cross%28%281%2F2%29x%5E2=200%2F2%29-------off-target.....
%281%2F2%29x%5E2=200, the the area of the isosceles right triangle.

What is 4x ?

You also want to know the length of the hypotenuse, which would be the diagonal of the square from which this triangle comes.

x%5E2=400
x=20

NOW, if h is the hypotenuse,
x%5E2%2Bx%5E2=h%5E2
h%5E2=2x%5E2
h=x%2Asqrt%282%29
h=20%2Asqrt%282%29

You have now the data needed to find the perimeter of the triangle.