1. ΔABC and ΔDEF are similar triangles. If the side lengths of ΔABC are 6, 8, and 12, and the longest side ΔDEF is 18, then what are its other side lengths?

Question

1. ΔABC and ΔDEF are similar triangles. If the side lengths of ΔABC are 6, 8, and 12, and the longest side ΔDEF is 18, then what are its other side lengths?
9 and 14
9 and 12
14 and 16
24 and 36

oobleck · Answer

the ratio is 18/12 = 3/2 so the other two lengths are 3/2 * 6 and 3/2 * 8