Question

The length of the base of a triangle is twice it’s height. If the area of the triangle is 441 square kilometers, find the height

Answer 1

21 kilometers

Explanation:

Let the height be
`x`. Then, the length of the base is
`2x`. The formula for the area is of the triangle is given by base*height/2. Therefore, the area of the triangle is equal to
`(x \cdot 2x)/(2) = x^2`, which is in turn equal to 441. Since
`x` must be positive, then
`21^2=441`, meaning that the height is
`21` kilometers.