Question

he base of a triangle is 5 times the height. If the area is 490 square feet, then what is the height of the triangle, in feet?

Answer 1

14 feets

Explanation:

Let height of the triangle is x.

Its base = 5x

Area of the triangle = 490 square feet

We need to find the height of the triangle.

The area of a triangle is given by :

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

Putting values,

`h=(2A)/(b)\\\\x=(2* 490)/(5x)\\\\5x^2=980\\\\x^2=196\\\\x=\pm 14\ \text{feet}`

or

x = 14 feet

Hence, the height of the triangle is 14 feets.