Triangles ABC and EFD are similar FE = 12 CB = 16 BA = 24 CA = 32. Find the DE and DF sides.

Sides AB and EF are similar sides of similar triangles ABC and EFD.

Then the coefficient of similarity of triangles is: K = EF / AB = 12/24 = 1/2.

Then the side DE = АС / 2 = 32/2 = 16 cm, the side ДF = ВС / 2 = 16/2 = 8 cm.

Answer: The DE side is 16 cm, the DF side is 8 cm.



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