Question

Explain Area Ratio theorem mathematically ! ​

Answer 1

Answer:

Area Theorem : The ratio of areas of two similar triangles is equal to the squares of the ratio of their corresponding sides.

If two triangles are similar, then their corresponding sides are proportional. Since sides are a length and lengths are one dimensional, the side ratio will not predict the ratio of the areas. To find the area ratios, raise the side length ratio to the second power.

Answer 2

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Explain Area Ratio theorem mathematically !

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Theorem: If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.

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