Question

Triangle ABC has the following side lengths: AB = 5 ft, BC = 10 ft, CA = 12 ft Triangle DEF is similar to triangle ABC. The shortest side of triangle DEF, DE = 8.5 ft. What are the lengths for the other two sides of triangle DEF?

Answer 1

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Answer 2

Since the triangles are similar
AB/DE = BC/EF
5/8.5 = 10/EF
EF = 8.5 x 10/5
EF = 17cm
SIMILARLY
AB/DE = AC/DF
5/8.5 = 12/DF
DF = 8.5 x 12 / 5
DF = 1.7 x 12
DF = 20.4cm