Question

The 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

Answer: 14 feet

Explanation:

The formula for finding the area of a triangle is given as :

Area =
`(1)/(2)` x base x height

Let the height be h , then the base is 5 times the height , that is the base is 5h.

Substituting into the formula , we have

490 =
`(1)/(2)` x h x 5h

490 =
`(1)/(2)` x
`5h^(2)`

multiply through by 2

980 =
`5h^(2)`

divide through by 5

196 =
`h^(2)`

Therefore :

h = 14

Therefore : the height is 14 feet