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Triangle ABC is similar to triangle DEF with a ratio of 3/5 If the difference of their
perimeters is 40 inches, find the perimeter of each triangle.

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sqdancefan

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Answer:

  • ΔABC -- 60 inches
  • ΔDEF -- 100 inches

Step-by-step explanation:

If P is the perimeter of the larger triangle, then 3/5P will be the perimeter of the smaller one. The difference in perimeters is ...

  P -3/5P = 40 in

  2/5P = 40 in

  P = (5/2)(40 in) = 100 in

  3/5P = 3/5(100 in) = 60 in

The smaller triangle perimeter is 60 in; the larger is 100 in.

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