Answer:
the length of one leg of the triangle is,
inches
Explanation:
In the special triangle 45-45-90 right isosceles triangle,
the ratio of sides to the hypotenuse of an isosceles triangle are:

As per the statement:
The hypotenuse of an isosceles triangles measures 10 inches long.
⇒

Divide both sides by
we have;

⇒
inches
Therefore, the length of one leg of the triangle is,
inches