Question

The perimeters of the triangles shown are equal. Find the side lengths of each triangle.

Answer 1

Answer:

x = 14

AB = 37

BC = 36

AC = 28

PQ = 28

QR = 28

PR = 45

Step-by-step explanation:

we can add together the sides of ΔABC and set it equal to the sum of the sides of ΔPQR

2x+9 + 2x+8 + 2x = 2x + 2x + 3x+3

combine 'like terms':

6x + 17 = 7x + 3

subtract 6x from each side to get:

17 = x + 3

subtract 3 from each side to get:

14 = x

CHECK:

Does 6(14) + 17 equal 7(14) + 3?

84+17 = 98+3

101 = 101  checks out correctly