Question
Download Solution PDFΔABC और ΔDEF समरूप त्रिभुज हैं और उनके क्षेत्रफल क्रमशः 49 वर्ग सेमी और 144 वर्ग सेमी हैं। यदि EF = 16.80 सेमी है, तब BC ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
ΔABC और ΔDEF समरूप त्रिभुज हैं और उनके क्षेत्रफल क्रमशः 49 वर्ग सेमी और 144 वर्ग सेमी हैं।
EF = 16.80 सेमी
प्रयुक्त अवधारणा:
यदि दो त्रिभुज समरूप हों, तो दोनों त्रिभुजों के क्षेत्रफल का अनुपात उनकी संगत भुजाओं के अनुपात के वर्ग के समानुपाती होता है।
गणना:
चूँकि, ΔABC और ΔDEF समरूप त्रिभुज हैं,
⇒
⇒
⇒ BC = 7/12 × 16.80
⇒ BC = 9.8
∴ BC की लंबाई 9.8 सेमी है।
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