The sides of a triangle are 8 cm, 9 cm, and 12 cm.Find the largest side of a similar triangle, the smallest side of which is 24 cm.
| February 11, 2021 | education
Divide the smallest side of the larger triangle by the smallest side of the smaller triangle and get the coefficient of similarity of triangles:
k = 24/8 = 3.
Since the coefficient of similarity is 3, each side of the larger triangle is 3 times the corresponding side of the smaller triangle. This means that the largest side of the larger triangle is 3 times the largest side of the smaller triangle:
12 * 3 = 36 cm.
Answer: 36 cm.
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