Question
Download Solution PDFएक चतुर्भुज ABCD में एक वृत्त अन्तर्निहित है, जो भुजाओं AB, BC, CD और DA को क्रमशः P, Q, R और S पर स्पर्श करता है। यदि AS = 6 सेमी, BC = 12 सेमी, और CR = 5 सेमी, तो AB की लंबाई (सेमी में) है:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
AS = 6 सेमी
BC = 12 सेमी
CR = 5 सेमी
प्रयुक्त अवधारणा:
यदि एक बाह्य बिंदु से एक वृत्त पर दो स्पर्श रेखाएँ खींची जाती हैं तो उनके स्पर्शरेखा खंड समान होते हैं।
गणना:
⇒ CR = CQ = 5 सेमी
⇒ BQ = BC – CQ
⇒ (12 – 5) = 7 सेमी
⇒ BQ = BP = 7 सेमी ....(1)
⇒ AS = AP = 6 सेमी ....(2)
समीकरण (1) और (2) को जोड़ने पर, हम प्राप्त करते हैं
⇒ (7 + 6)
⇒ 13 सेमी
इसलिए, AB की लंबाई 13 सेमी है
Last updated on Jul 16, 2025
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