SOLUTION: How to calculate the area of an isosceles right triangle when you only know the length of its hypotenuse???

Question 1009450: How to calculate the area of an isosceles right triangle when you only know the length of its hypotenuse???

Found 3 solutions by rothauserc, Fombitz, BashayerNouri:
Answer by rothauserc(4718)   (Show Source): You can put this solution on YOUR website!
let s be the side of the given isosceles right triangle, then
s^2 + s^2 = h^2
2s^2 = h^2
s^2 = h^2/ 2
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Area of triangle = (1/2) * s * s
Area of triangle = (1/2) * s^2
Area of triangle = (1/2) * (h^2/2) = (h^2 / 4)

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
There is a relationship between the hypotenuse and side of this triangle through the Pythagorean theorem.

So then the area of this triangle is,

Substituting,

Answer by BashayerNouri(2)   (Show Source): You can put this solution on YOUR website!
Thank you so much rothauserc & Fombit for the help and explanation! Now I understand how to do this problem! :D
I'm greatly appreciated that you took time out of your day to help me.
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