Question

A triangle has sides of length (x+5)cm, (2x -1) cm and (3x+7) cm. How do you find the value of x given the perimeter of the triangle is 29cm?

Answer 1

`x =3`

Explanation:

We get the perimeter of the triangle by adding up the length of all the sides:

`:. (x+5) + (2x-1)+(3x+7)=29`
`:. x+2x+3x + 5-1+7=29`
`:. 6x + 11=29`
`:. 6x =18`
`:. x =3`

So the lengths would be:

`x+5 = 8`
`2x-1 = 5`
`3x +7 = 16`

Total `= 29`