Given two similar triangles, the area of the larger triangle is sixteen times the area of the smaller triangle. Find the ratio of the perimeter of the larger triangle to the perimeter of the smaller triangle .

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- Dec 21st 2009, 12:02 AMsri340similar triangles
Given two similar triangles, the area of the larger triangle is sixteen times the area of the smaller triangle. Find the ratio of the perimeter of the larger triangle to the perimeter of the smaller triangle .

- Dec 21st 2009, 01:49 AMGrandad
Hello sri340The ratio of the areas of two similar figures is the square of the ratio of corresponding lengths. So if the areas are in the ratio $\displaystyle 16:1$, the lengths are in the ratio $\displaystyle 4:1$. So there's your answer, the perimeters are in the ratio $\displaystyle 4:1$.

Grandad