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

```
7 years ago

147 Points
```										Dear MITHRESH

In triangle APE
r =AP sinx

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
Please feel free to post as many doubts on our discussion forum as you can.If you find any question Difficult to understand - post it here and we will get you the answer and detailed solution very  quickly. We are all IITians and here to help you in your IIT JEE  & AIEEE preparation. All the best. Regards,Askiitians ExpertsBadiuddin

```
7 years ago
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