The sides of one triangle are 80 mm, 48 mm, 64 mm, and the perimeter of a similar triangle is 156 mm. Find the sides of the other triangle.

Find the perimeter of the first triangle:
80mm + 48mm + 64mm = 192mm
Let the sides of the second triangle be a, b, c
The ratio of similar triangles is equal to the coefficient of similarity, that is, the ratio of similar sides
156/192 = a / 80 = b / 48 = 64 / c
We take proportions and express the sides
a = 80 * 156/192 = 65mm
b = 48 * 156/192 = 39mm
s = 64 * 156/192 = 52mm
Answer: 65mm, 39mm, 52mm



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