Two triangles are similar. The lengths of the sides of one triangle are 3, 5 and 6. What are the lengths of two sides of the other triangle if the length of the shortest side is 27?

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Two triangles are similar. The lengths of the sides of one triangle are 3, 5 and 6. What are the lengths of two sides of the other triangle if the length of the shortest side is 27?

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Анонимviz Анонимviz · Answer 1

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Divide the shortest side of the bigger triangle by the shortest side of the smaller triangle:

27 ÷ 3 = 9

Multiply the each of the other two side of the smaller triangle to get the lengths of the corresponding sides in the bigger triangle.

5 × 9 = 45

6 × 9 = 54

The two sides of the other (bigger) triangle are 45 and 54 units.

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