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21 April, 09:00

Question 15

2 pts

Polygons

Two triangles are similar. The sides of the smaller triangle

have lengths of 8, 12, and 16 centimeters. The perimeter of

the larger triangle is 54 centimeters. Find the length of the

shortest side of the larger triangle.

Polygons

08

o 12

gures -

36

O 18

+2
Answers (1)
  1. 21 April, 12:02
    0
    The perimeter of the smaller triangle is 8+12+16=36. The big triangle has perimeter 54. So our scale factor is 54/36=3/2. So we scale up the short side, 8, by 3/2, giving our answer:

    Answer: 12
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