Question

The height of a triangle is 14mm more than the base. The area is 240mm? What is the height of the

triangle?

Answer 1

Height = 30mm

Explanation:

The area of a triangle is calculated by the formula:

area = base x height x (1/2)

As provided information, we have:

240 = (height - 14) x height x (1/2)

<=> 480 = height^2 - 14 x height

<=> height^2 - 30 x height + 16 x height - 480 = 0

<=> height(height - 30) + 16(height - 30) = 0

<=> (height - 30)(height + 16) = 0

<=> height = 30 (height = -16 is not valid)

Hope this helps!