Question

A right triangle has an area 18 square inches.

A: if the triangle is an isosceles triangle, what are the lengths of the legs of the triangle

Answer 1

6

Explanation:

18/3=6

Answer 2

The area of any triangle is A = (1/2) (base) (height).

If the right triangle is not sitting
on its hypotenuse, then one leg
is the base, and the other leg is
the height: A = (1/2) (base leg) (height leg) .

If the triangle is isosceles, then
the legs are equal: A = (1/2) (either leg)²

You said the area is 18 in²: 18 in² = (1/2) (leg²)

Multiply each side by 2 : 36 in² = leg²

Square root each side: 6 in = leg