Question

If the ratio of areas of similar triangles is 16:121. What is the ratio of their corresponding sides? यदि समरूप त्रिभुजों के क्षेत्रफलों का अनुपात 16: 121 है। उनकी संगत भुजाओँ का अनुपात क्या है? *
11:8
11:4
8: 11
4:11
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Answer 1

Given :

• Ratio of areas of two similar triangles is 16 :121

To Find :

• Ratio of their corresponding sides

Solution :

• As we know that the ratio of the areas of two similar triangles is equal to the square of ratio of their corresponding , then :
• Let the unknown ratio of sides be a : b

$\star \: \large {\sf{\red{ \dfrac{A1}{A2}\:=\: (\dfrac{a}{b})²}}}$

$\implies \sf \dfrac{16}{121}\:=\:(\dfrac{a}{b})$

$\implies \sf \dfrac{a}{b}\:=\: \dfrac{4}{11}$

• Ratio of their corresponding sides is 4 : 11

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