Find the ratio of the areas of two triangles if the sides of one are 5cm, 8cm, 12cm, and the side of the other is 15cm, 24cm, 36cm.

univerkov | January 16, 2021 | education

Find the ratio of the sides of two triangles.
5/15 = 1/3.
8/24 = 1/3.
12/36 = 1/3.
Since the ratio of the lengths of the sides of the triangles are equal, then these triangles are similar in three proportional sides, and the coefficient of their similarity is K = 1/3.
The ratio of the areas of similar triangles is equal to the coefficient of their similarity.
Then S1 / S2 = K ^ 2 = 1/9.
Answer: The area ratio is 1/9.

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