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Corresponding medians of two similar triangles measure 11 cm and 8 cm.
Find the ratio of their areas.

Class 10Areas of Similar TrianglesGeometry — Similarity
  • A11 : 8
  • B64 : 121
  • C121 : 64
  • D1331 : 512

Step-by-Step Solution

A median is a corresponding length, so the sides are also in the ratio 11 : 8. Area ratio = , i.e. 121 : 64. The option 11 : 8 forgets to square, 64 : 121 puts the triangles the wrong way round, and 1331 : 512 cubes instead.
Answer: C) 121 : 64

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