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MITHRESH K PUSHPAN Grade: 12
        

LET /\ABC BE ISOSCELES WITH AB=AC,P BE ITS INCENTRE ,GIVEN BC=AB+AP,FIND  / BAC



7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear MITHRESH




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In triangle APE


r =AP sinx




In triangle ADB


BD =BC/2 = ABsinx


 BC =2AB sinx




and cosx =(AP +r)/AB


             = AP(1+sinx)/AB


AP = AB cosx/(1+sinx)




given BC =AP +AB


      2AB sinx  = AB cosx/(1+sinx)  +AB


simplyfy


    sinx -cosx =1- 2sin2x


   sinx -cosx = cos2x


square


 1- sin2x = cos22x


 sin2x= sin22x


 sin2x=1


 2x=90


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Badiuddin


     





7 years ago
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