Question

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

Answer 1

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