CBSE Class 10 Maths (Standard) 2018 · Paper 30(B) · Question 24(a)

Triangles 4 marks Medium

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

Answer

\frac{ar ( △ A B C )}{ar ( △ P QR )} = (\frac{A B}{P Q})^{2} = (\frac{B C}{QR})^{2} = (\frac{C A}{R P})^{2}

. Hence proved.

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