Question

The height of a triangle is 18 inches. What is the length of the base if the area of the triangle is 63 square inches?

Answer 1

The height is `7` inches long

Explanation:

We know that, for any triangle with base `b` and height `h` is given by `A=(b * h)/2`

If the area and the height are known, the base is given by

`A=(b * h)/2 \to 2A=b*h \to (2A)/h = b`

So, simply substitute your values to have

`(2*63)/18 = 63/9 = 7`

Answer 2

ar of triangle = `1/2*b*h`

Explanation:

So we have,
h=18 inches.
ar=63 square inches.
b=?

Sol. ar of triangle= `1/2*b*h`

Therefore, `63= 1/2*b*18`
(So, we know that 2x9=18)
Therefore, we have `63= b*9`
so, `b=63/9`
Therefore `b= 7` inches

Ans. The base of the triangle is 7 inches.