SOLUTION: The hypotenuse of an isosceles right triangle measures 15 feet. Find the area.

Question 259881: The hypotenuse of an isosceles right triangle measures 15 feet. Find the area.
Found 2 solutions by Earlsdon, Alan3354:
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
The area of the triangle is given by:
but in an isosceles right triangle, b = h, so we'll just say that b = x and h = x, so the area is:

Now to find x, we'll use the Pythagorean theorem where c (the hypotenuse) = 15 ft.

Substitute into the equation for the area:

sq.ft.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
15^2 = 2s^2
Area = s^2/2 = 225/4
Area = 56.25 sq feet

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