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

Cdoes not have two variables