Question
Download Solution PDFयदि दो समरूप त्रिभुजों की दो संगत भुजाओं में अनुपात 9 ∶ 4 है, तो उनके क्षेत्रफलों में अनुपात क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFप्रयुक्त अवधारणा:
यदि दो त्रिभुज समरूप हों, तो-
उनके क्षेत्रफलों का अनुपात = उनकी संगत भुजाओं के अनुपात का वर्ग
गणना:
दिया गया है,
समरूप त्रिभुज की भुजाओं का अनुपात 9 : 4 है।
उपरोक्त अवधारणा का प्रयोग करने पर,
⇒
⇒
∴ इसके क्षेत्रफलों का अनुपात 81 : 16 है।
Last updated on Jul 7, 2025
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