Question

The perimeter of the triangle shown to the right is 160 feet . Find the length of each side.

Answer 1

The perimeter of the given triangle is equal to

`\begin{gathered} P=(5x)+(6x+2)+(6x+5) \\ P=160\text{ ft} \\ 160=(5x)+(6x+2)+(6x+5) \\ solve\text{ for x} \\ 160=17x+7 \\ 17x=160-7 \\ 17x=153 \\ x=9 \end{gathered}`

Find out the length of each side

5x=7(9)=45 ft

6x+2=6(9)+2=56 ft

6x+5=6(9)+5=59 ft