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?

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

Step-by-step 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 = bh

According to the problem,

bh = 81

or, ×x×2x = 81

or,

or, x =

or, x = 9

So,

Base = 2×9 inches = 18 inches

Height = 9 inches

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step-by-step explanation: