The ratio of corresponding sides of similar triangles is 3 : 5, then find the ratio of their areas.
Q.1 (B)(1) The ratio of corresponding sides of similar triangles is 3 : 5, then find the ratio of their areas.
Q.1 (B)(1) The ratio of corresponding sides of similar triangles is 3 : 5, then find the ratio of their areas.
Best answer
Answer: 9 : 25
For similar triangles, the ratio of areas is the square of the ratio of corresponding sides.
\(\dfrac{A_1}{A_2} = \left(\dfrac{3}{5}\right)^2 = \dfrac{9}{25}\), i.e. 9 : 25.
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