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Maharashtra Class 10 Answered

bisector of an angle b and angle c in ∆abc meet each other at p line ap cuts the bc at q prove that ap/pq=ab+ac/bc.
Asked by mahendraailawar17 | 06 Jan, 2019, 07:21: PM
answered-by-expert Expert Answer
Since BP is bisector of begin mathsize 12px style angle end styleABC, we have   begin mathsize 12px style fraction numerator A P over denominator P Q end fraction space equals space fraction numerator A B over denominator B Q end fraction space................... space left parenthesis 1 right parenthesis end style
Since CP is bisector of begin mathsize 12px style angle end styleACB, we have   begin mathsize 12px style fraction numerator A P over denominator P Q end fraction space equals space fraction numerator A C over denominator C Q end fraction space................... space left parenthesis space 2 right parenthesis space end style
Hence from (1) and (2), begin mathsize 12px style fraction numerator A P over denominator P Q end fraction space equals space fraction numerator A B plus A C over denominator B Q plus Q C end fraction space equals space fraction numerator A B plus A C over denominator B C end fraction end style
Answered by Thiyagarajan K | 08 Jan, 2019, 05:20: PM

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