Question

The area of a triangular block is 81 square inches. If the base of the triangle is twice the

height, how long are the base and the height of the triangle?​

Answer 1

The base and height of the triangle is 18 inches and 9 inches respectively.

Explanation:

Given,

The base of a triangle is twice of the height.

Area = 81 sq inches

Let,

Base (b) = 2x

Height (h) = x

To find its height and base.

Formula

Area of the triangle =
`(1)/(2)`bh

According to the problem,

`(1)/(2)`bh = 81

or,
`(1)/(2)`×x×2x = 81

or,
`x^(2) = 81`

or, x =
`√(81)`

or, x = 9

So,

Base = 2×9 inches = 18 inches

Height = 9 inches