The ratio of the areas of similar triangles is necessarily equal to
 

  • A the ratio of the corresponding sides
  • B the ratio of the squares of corresponding sides
  • C the ratio of the corresponding heights of the triangles
  • D half the ratio of the corresponding heights of the triangles
  • E the ratio of the corresponding bases to the heights of the triangles
jamb 1980mathematics

The correct answer is B. the ratio of the squares of corresponding sides

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. 

In other words, if two triangles are similar, and the ratio of their corresponding sides is k, then the ratio of their areas is k^2.

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