Question

One triangle has sides that measure 8 yards, 15 yards, and 17 yards. The side lengths of a second triangle are 48 yards, 90 yards, and 102 yards. What is the constant of proportionality between the first and second triangle?

A. 1/11. B. 6

B. 1/6. C. 11

Answer 1

6 is the answer, because 48/6=8

Answer 2

Triangle 1:
Side a- 8yd
Side b- 15 yd
Side c- 17 yd

Triangle 2:
Side a- 48 yd
Side b- 90 yd
Side c- 102 yd

Take the equivalent side from each triangle and divide Triangle 1's side by Triangle 2's side.
T1Sa/T2Sa = 8yd/48yd = 1/6
T1Sb/T2Sb = 15yd/90yd = 1/6
T1Sc/T2Sc = 17yd/102yd = 1/6