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Home » Corresponding sides of two similar triangles are in the ratio 4:9 Areas of these triangles are in the ration (a) 2:3 (b) 4:9 (c) 9:4 (d) 16:81
Corresponding sides of two similar triangles are in the ratio 4:9 Areas of these triangles are in the ration (a) 2:3 (b) 4:9 (c) 9:4 (d) 16:81
CBSE | Class 10 | Exercise MCQ | Maths | RS Aggarwal | Triangles
Corresponding sides of two similar triangles are in the ratio 4:9 Areas of these triangles are in the ration (a) 2:3 (b) 4:9 (c) 9:4 (d) 16:81

Correct Answer: (d) 16:81

Explanation:

If two triangles are similar, then the ratio of their areas is equal to the ratio of the squares of their corresponding sides.

\begin{array}{l} \frac{{area\ of\ first\ triangle}}{{area\ of\ \second\ triangle}} = {\left( {\frac{{{side\ of\ first\ triangle/}}{{side\ of\ \second\ triangle}}} \right)^2}\\ = > {\left( {\frac{4}{9}} \right)^2}\\ = > \frac{{16}}{{81}} \end{array}

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