SOLUTION: What is the height (one of the legs) and the hypotenuse of an isosceles right triangle that has an area of 800 square feet?

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Question 929110: What is the height (one of the legs) and the hypotenuse of an isosceles right triangle that has an area of 800 square feet?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x, either leg
h, hypotenuse
system%28x%5E2%2Bx%5E2=h%2Cx%5E2=800%29; the first accounts for the sides according to Pythagorean Theorem of this special triangle, and second equation accounts for the given area. Solving the system should be straightforward.

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

What is the height (one of the legs) and the hypotenuse of an isosceles right triangle that has an area of 800 square feet?


Measure of height: sqrt%281600%29, or highlight_green%2840%29 feet

Measure of hypotenuse: sqrt%2840%5E2+%2B+40%5E2%29, or highlight_green%2840sqrt%282%29%29