Question
Download Solution PDFएक △ ABC के AB और AC के मध्य बिंदु क्रमशः X और Y हैं। यदि BC + XY = 24 इकाई है, तो BC - XY का मान है:
Answer (Detailed Solution Below)
Detailed Solution
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एक △ ABC के AB और AC के मध्य बिंदु क्रमशः X और Y हैं।
यदि BC + XY = 24 इकाई है
प्रयुक्त अवधारणा:
त्रिभुज के साथ चतुर्भुज बनाने वाले त्रिभुज के मध्य बिंदु त्रिभुज के आधार का आधा है
गणना:
प्रश्न के अनुसार,
बीसी + एक्सवाई = 24 ...........(1)
चूँकि XY = 1/2 BC,
⇒ 1/2BC + BC = 24
⇒ 3BC = 24 x 2
⇒ 3बीसी = 48
⇒ बीसी = 16 इकाइयां
समीकरण से। (1) हमें मिलता है,
⇒ 16 + XY = 24
⇒ XY = 24 - 16 = 8 इकाइयाँ
अब तदनुसार,
⇒ BC - XY = 16 - 8 = 8 इकाइयाँ
∴ BC - XY का मान 8 इकाई है।
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