Multiple choice general knowledge math & puzzles

You have been given two similar triangles, MNO and DEF. You have to find out the ratios of their areas. Which of the following formulae can be used to find out the ratio of the areas of the given triangles.

  1. The ratio of the areas of the triangles is equal to the square of the corresponding sides

  2. The ratio of the areas of the triangles is equal to the square of the corresponding altitudes

  3. The ratio of the areas of the triangles is equal to the square of the corresponding medians

  4. None
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A Correct answer
Explanation

For similar triangles, the ratio of areas is the square of the ratio of ANY corresponding linear dimensions - sides, altitudes, medians, or perimeters. However, the most fundamental and commonly stated version uses the sides directly.

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