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Areas of two similar triangles are $81 cm^{2}$ and $144 cm^{2}$ . Find the ratio of their corresponding medians.

Class 10Areas of Similar TrianglesGeometry — Similarity

A3:4
B9:16
C4:3
D27:64

Step-by-Step Solution

Median ratio = side ratio =

\frac{81}{144} = \frac{9}{12} = 3

:4. (9:16 is the area ratio left unrooted.)

Answer: A) 3:4

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