1. We're doubling to go from ABDC to A'B'D'C'. So AB=15 becomes A'B'=30 cm and BD=8 becomes B'C'=16 cm. Please see attached figure.
2. We have equal ratios
40:50:60 = 30:37.5:45
Let's check that. 30/40=3/4, 37.5/50=3/4, 45/20=3/4, all ratios the same, similar triangles.
We see the meets of the longest side and the shortest side are B and Z respectively.
The meets of the longest side and the medium side are C and X.
The meets of the short side and medium side are A and Y.
Pairing them up we have our
Answer: ABC ~ YZX
