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CBSE Class 10 Answered

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Asked by vikasg13.hardware | 28 Jun, 2018, 05:56: AM
answered-by-expert Expert Answer
begin mathsize 16px style We space know comma space Because space straight I space is space incenter comma space space angle IBD equals straight B over 2 angle ICD equals straight C over 2 space space rightwards double arrow angle BIC equals straight pi minus left parenthesis straight B over 2 plus straight C over 2 right parenthesis space space equals straight pi minus left parenthesis fraction numerator straight pi minus straight A over denominator 2 end fraction right parenthesis space equals straight pi over 2 plus straight A over 2 space space But comma space angle BIC equals angle BOC comma space because space chord space BC space subtends space both space angles space at space the space center. space space Also comma space angle BOC equals 2 straight A comma space because space angle space subtended space by space straight a space chord space on space the space center space left parenthesis straight O right parenthesis space is space double space the space angle space subtended space the space by space the space chord space on space any space part space of space the space circle space left parenthesis space passing space through space ΔABC space right parenthesis space in space the space major space sector. space space straight pi over 2 plus straight A over 2 equals 2 straight A space space Which space gives comma space space angle straight A equals straight pi over 3 equals 60 degree space space rightwards double arrow angle BAC equals straight pi over 3 equals 60 degree space space end style
Answered by Arun | 29 Jun, 2018, 10:47: AM

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CBSE 10 - Maths
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