Question

The area of the triangle shown is 40.0 cm?.

?
12.5 cm
What is the height of the triangle?
O A. 3.20 cm
O B. 6.40 cm
O C. 13.8 cm
O D. 27.5 cm

Answer 1

`Height = 6.40cm`

Explanation:

Given

`Area = 40.0cm^2`

`Base = 12.5cm`

Required

Calculate Height

Area of a triangle is:

`Area = (1)/(2) * Base * Height`

Substitute values for Area and Base

`40 = (1)/(2) * 12.5 * Height`

Multiply both sides by 2

`80 = 12.5 * Height`

Divide both sides by 12.5

`Height = (80)/(12.5)`

`Height = 6.40cm`