The sides of a triangle have lengths 3z, 7z + 5, and 5z + 4. If the perimeter of the triangle is 150, what...

Question

The sides of a triangle have lengths 3z, 7z + 5, and 5z + 4. If the perimeter of the triangle is 150, what is the value of z?

SnapAndSolve AI · Accepted Answer

To find the value of z, we need to set up the equation for the perimeter of the triangle:

Perimeter = 3z + (7z + 5) + (5z + 4) = 150

Combine like terms:

3z + 7z + 5z + 5 + 4 = 150

15z + 9 = 150

Subtract 9 from both sides:

15z = 141

Divide by 15:

z = 141 / 15 = 9.4

Therefore, the value of z is 9.4.

Answer