Question

Find the base of a triangle whose altitude is 12 cm and area is 96 cm

Answer 1

Given:

Altitude of a triangle = 12 cm

Area of the triangle = 96 sq. cm

To find:

The base of the triangle.

Solution:

The area of a triangle is

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

Putting Area = 96 and height = 12, we get

`96=(1)/(2)* base* 12`

`96=6* base`

Divide both sides by 6.

`(96)/(6)=base`

`16=base`

Therefore, the base of the triangle is 16 cm.