Question

the perimeter of a triangle is 47cm. If the sides of the triangle are x cm, 3x - 4 cm, and x + 6 cm, what is the length of each side ?

Answer 1

The length of each side are 9 cm, 23 cm and 15 cm

Explanation:

we know that

The perimeter of triangle is the sum of its three length sides

`P=x+(3x-4)+(x+6)`

`P=47\ cm`

so

`47=x+(3x-4)+(x+6)`

Solve for x

`47=5x+2`

`5x=47-2`

`5x=45`

`x=9\ cm`

Find the length of each side

`x=9\ cm`

`(3x-4)=3(9)-4=23\ cm`

`(x+6)=9+6=15\ cm`

therefore

The length of each side are 9 cm, 23 cm and 15 cm