Asked by DAN
If triangle ABC is similar to triangle DEF and the perimeter of ABC is 4 times greater than the perimeter of DEF , what is the relationship between the areas of the triangles?
Answers
Answered by
Reiny
since perimeter is linear, the sides are in the ratio of 4:1
So the areas are in the ratio of 4^2 : 1^2 = 16 : 1
So the areas are in the ratio of 4^2 : 1^2 = 16 : 1
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