Question

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

Answer 1

Answer:

the length of one leg of the triangle is, $5\sqrt{2}$ inches

Step-by-step explanation:

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

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

$a:a:a\sqrt{2}$

As per the statement:

The hypotenuse of an isosceles triangles measures 10 inches long.

⇒$a\sqrt{2} = 10$

Divide both sides by $\sqrt{2}$ we have;

$a = \frac{10}{\sqrt{2}} = 5\sqrt{2}$

⇒$a= 5\sqrt{2}$ inches

Therefore, the length of one leg of the triangle is, $5\sqrt{2}$ inches

Answer 2

The answer is 10/√2 which would be A.