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ICSE Class 10 Answered

in triangle abc , cos a=sin b/2sinc then show that triangle abc is isosceles
Asked by keshavendu35 | 19 Aug, 2018, 12:35: AM
answered-by-expert Expert Answer
begin mathsize 16px style In space increment ABC comma sinA over straight a equals sinB over straight b equals sinC over straight c equals straight k rightwards double arrow sinA equals ka comma space sinB equals kb comma space sinC equals kc where space straight a comma space straight b space and space straight c space are space the space sides space of space the space triangle space ABC cosA equals fraction numerator straight b squared plus straight c squared minus straight a squared over denominator 2 bc end fraction Given space that space cosA equals fraction numerator sinB over denominator 2 sinC end fraction Put space the space values space in space the space above space equation space we space get straight b squared plus straight c squared minus straight a squared equals straight b squared or space straight c equals straight a Hence comma space increment ABC space is space isosceles space triangle. end style
Answered by Sneha shidid | 20 Aug, 2018, 10:48: AM

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