Question

The hypotenuse of an isosceles triangles measures 10 inches long. What is the length of one leg of the triangle?

Answer 1

10/2

Explanation:

Answer 2

the length of one leg of the triangle is,
`5√(2)` inches

Explanation:

In the special triangle 45-45-90 right isosceles triangle,

the ratio of sides to the hypotenuse of an isosceles triangle are:

`a:a:a√(2)`

As per the statement:

The hypotenuse of an isosceles triangles measures 10 inches long.

⇒
`a√(2) = 10`

Divide both sides by
`√(2)` we have;

`a = (10)/(√(2)) = 5√(2)`

⇒
`a= 5√(2)` inches

Therefore, the length of one leg of the triangle is,
`5√(2)` inches