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Math Help - similar triangles

  1. #1
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    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 .
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  2. #2
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    Hello sri340
    Quote Originally Posted by sri340 View Post
    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 .
    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.

    Grandad
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