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Two similar triangles have areas in the ratio of 49:81. What is the ratio of their corresponding altitudes?
2401:6561
49:81
7:81
7:9
Answer: D
For similar triangles, the ratio of corresponding altitudes is the square root of the area ratio. Required ratio = \(\sqrt{49:81}=7:9\).
दो समरूप त्रिभुजों के क्षेत्रफलों का अनुपात 49:81 है। उनके संगत ऊँचाइयों का अनुपात क्या है?
2401:6561
49:81
7:81
7:9
उत्तर: D
समरूप त्रिभुजों में संगत ऊँचाइयों का अनुपात क्षेत्रफलों के अनुपात के वर्गमूल के बराबर होता है। आवश्यक अनुपात = \(\sqrt{49:81}=7:9\)।
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