The permeters of the triangles shown are equal. Find the side lengths of each triangle
AB=
BC =
AC=
PQ=
QR=
PR=

Answer:
AB = 51
BC = 50
AC = 42
PQ = 42
QR = 42
PR = 59
Step-by-step explanation:
Perimeter of ∆ ABC = Perimeter of ∆ PQR
3x + 9 + 3x + 8 + 3x = 3x + 3x + 4x + 3
9x + 17 = 10x + 3
17 - 3 = 10x - 9x
14 = x
.: x = 14
AB = 3x +9 = 3×14+9 = 42+9 = 51
BC = 3x +8 = 3×14+8 = 42+8 = 50
AC = 3x = 3×14 = 42
PQ = 3x = 3×14 = 42
QR = 3x = 3×14 = 42
PR = 4x +3 = 4×14+3 = 56+3 = 59