Find the ratio of the areas of two triangles if the sides of one are 3cm, 5cm and 7cm, and the sides of the other are 30cm, 50cm, and 70cm.
Each side of the second triangle is ten times the side of the first triangle. Then the sides of the triangle are proportional.
Since the sides are proportional, these triangles are similar in three proportional sides, and the coefficient of their similarity is K = 1/10.
The ratio of the areas of similar triangles is equal to the coefficient of their similarity.
Then S1 / S2 = K ^ 2 = 1/100.
Answer: The area ratio is 1/100.
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