Question
Download Solution PDFएक त्रिभुज ABC में, AB : AC = 5 : 2, BC = 9 सेमी है। BA को D तक बढ़ाया गया है, और कोण CAD का समद्विभाजक बढ़ाई गई BC से E पर मिलता है। CE की लंबाई (सेमी में) कितनी है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
AB : AC = 5 : 2
BC = 9 सेमी
प्रयुक्त अवधारणा:
बाह्य कोण समद्विभाजक प्रमेय द्वारा,
AB/AC = BE/CE
गणना:
दिए गए प्रश्न के अनुसार
AB/AC = BE/CE (बाह्य कोण समद्विभाजक प्रमेय का उपयोग करके)
⇒ 5/2 = (9 + CE)/CE
⇒ 5CE = 18 + 2CE
⇒ 3CE = 18
⇒ CE = 6 सेमी
∴ CE की लंबाई 6 सेमी है।
Additional Informationकोण समद्विभाजक प्रमेय - त्रिभुज के किसी कोण का बाह्य समद्विभाजक विपरीत भुजा को कोण वाली भुजाओं के अनुपात में बाहरी रूप से विभाजित करता है।
Last updated on Jun 13, 2025
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