# similar triangles

• Dec 21st 2009, 12:02 AM
sri340
similar 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 AM
The 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 $16:1$, the lengths are in the ratio $4:1$. So there's your answer, the perimeters are in the ratio $4:1$.