The perimeter of triangle PQR is 78, PQ=18, triangle PQR ~ triangle STU, AND ST=6. What is the perimeter of triangle STU?

2 answers

This assumes that sides PQ and ST are corresponding sides. You do not state the relation of the sides in your problem.

Create a proportion matching the corresponding sides and perimeters.

PQ/ST = Perimeter PQR/Perimeter STU

18/6 = 78/x
18x = 468
x = 26 = Perimeter STU
17.3m