Which set of side lengths shows similar triangles?

Answer

Triangle ABC : 32, 20, 32; Triangle XYZ: 30, 16, 16

Triangle ABC : 110, 80, 60; Triangle XYZ: 6, 8, 5.5

Triangle ABC : 40, 20, 50; Triangle XYZ: 10, 12.5, 10

Triangle ABC : 30, 30, 60; Triangle XYZ: 15, 15, 30

... ?

The correct answer is D or the last choice. First, Pair up the values of both triangles in descending order then divide it. Having the equal answer will conclude that both triangles are similar.

A. (32/30) = (32/16) = (20/16)

1.067 = 2 = 1.25 = false

B. (110/8) = (80/6) = (60/5.5)

13.75 = 13.33 = 10.90 = false

C. (50/12.5) = (40/10) = (20/10)

4 = 4 = 2 = false

D. (60/30) = (30/15) = (30/15)

2 = 2 = 2 = True