Question

A right triangle has an area of 18 square inches if the triangle is not an isosceles triangle what are all the possible lengths of the legs?

Answer 1

1 inch by 36 inches

or

2 inches by 18 inches

or

3 inches by 12 inches

or

4 inches by 9 inches

Explanation:

A right triangle has an area of 18 square inches

The triangle is not an isosceles triangle

The area of a right triangle is given by;
`(1)/(2)` × base(b) × height(h)

In our case, the base and the height of the triangle are known as legs

So,
`(1)/(2)` × b × h = 18 square inches

b × h = 18 × 2 = 36 square inches

The possible factors of 36 (or lengths of the legs) that could give an area of 18 square inches are:

Base by Height:

1 inch by 36 inches

or

2 inches by 18 inches

or

3 inches by 12 inches

or

4 inches by 9 inches