Question

If the legs of an isosceles right triangle have a length of 15√2 ft, the hypotenuse will have a length of __ feet.

Answer 1

3.87 cause if u do it ona calculator it will give the answer

Answer 2

The hypotenuse will have a length of 30 feet.

Explanation:

`a^(2) +b^(2)=c^(2)`

As it is an isosceles triangle, we know that the two legs are equal.

The two lengths are =
`15√(2)`

Lets find c.

`(15√(2))^(2) +(15√(2))^(2) = c^(2)`

`(225*2)+(225*2)=c^(2)`

`450+450=c^(2)`

`900=c^(2)`

`c=√(900)`

`c=30`

Thus, the hypotenuse will have a length of 30 feet.