Question

The area of a triangle is 1.440 cm^2? The base of the triangle is 5 times the height. What is the height of the triangle?

12 cm
24 cm
46 cm
60 cm

Answer 1

The answer is option B

24cm

Explanation:

Area of a triangle is

`(1)/(2) * b * h`

Where b is the base

h is the height

The base of the triangle is 5 times the height is written as

b = 5h

Area of the triangle is 1440cm²

`1440 = (1)/(2) * 5h * h`

`1440 = (1)/(2) 5 {h}^(2)`

`2880 = 5 {h}^(2)`

Divide both sides by 5

`{h}^(2) = 576`

Find the square root of both sides

`h = √(576)`

h = 24cm

Hope this helps you