Question

The perimeter of a triangle is 22cm. If one of the sides is 9cm,find the other sides if the area of the triangle is 20.976cm2 ​

Answer 1

Third side = 8.34 cm

Explanation:

Given that,

The perimeter of a triangle, P = 22 cm

One side of a triangle, b = 9 cm

The area of the triangle, A = 20.976 cm²

The formula for the area of a triangle is given by :

`A=(1)/(2)* b* h\\\\h=(2A)/(b)\\\\h=(2* 20.976)/(9)\\\\h=4.66\ cm`

Perimeter = Sum of all sides

9 cm + 4.66 cm + x = 22

x = 22 - 13.66

x = 8.34 cm

So, the third side of the triangle is 8.34 cm.