SOLUTION: the hypotenuse of an isosceles right triangle measures 15 feet. need to find the area?

Question 242897: the hypotenuse of an isosceles right triangle measures 15 feet. need to find the area?
Answer by unlockmath(1688) (Show Source): You can put this solution on YOUR website!
Good Morning,
This has a couple steps so here we go. First formula we'll use is:
a^2 + b^2 = c^2 c is the hypotenuse and since both legs are the same size we'll show them with x. It looks like this:
x^2 + x^2 = 15^2 Expand this and combine like terms will give us:
2x^2=225 Divide both sides by 2 will be:
x^2=112.5 Square rood both sides will be:
x=10.61 (rounded off) This is the length of both sides.
Now, we'll use the area of a triangle which is area=1/2(base)(height) plug in the numbers:
area=1/2(10.61)(10.61)
area= 56.29 square feet (rounded off)
RJ Toftness
Check out my book at www.math-unlock.com
RELATED QUESTIONS
The hypotenuse of an isosceles right triangle measures 15 feet. Find the area. (answered by Earlsdon,Alan3354)

the hypotenuse of an isosceles right triangle measures 15 feet. find the... (answered by solver91311)

The hypotenuse of an isosceles triangle measurse 15 feet. Find the area. (answered by stanbon)

One leg of an isosceles right triangle measures 12 feet. Find the exact length of the... (answered by stanbon)

Approximate the hypotenuse of an isosceles right triangle with a leg that measures 17... (answered by 1335)

The hypotenuse of an isosceles right triangle measures 16 cm. Find the length of a... (answered by ewatrrr)

Find the area of an isosceles right triangle when the hypotenuse is 26mm. Find the area... (answered by macston)

an isosceles right triangle with an hypotenuse of length 8 inches, find the... (answered by Fombitz)

A garden has the shape of an isosceles right triangle. the length of the hypotenuse is 24 (answered by rfer)