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Let ABC be a triangle with incentre at I...

Let ABC be a triangle with incentre at I. Also, let P and Q be the feet of perpendiculars from A to BI and CI, respectively. Then which of the following result are correct?

A

`(AP)/(BI)=("sin"(B)/(2)"cos"(C)/(2))/("sin"(A)/(2))`

B

`(AQ)/(CI)=("sin"(C)/(2)"cos"(B)/(2))/("sin"(A)/(2))`

C

`(AP)/(BI)=("sin"(C)/(2)"cos"(B)/(2))/("sin"(A)/(2))`

D

`(AP)/(BI)+(AQ)/(CI)= sqrt(3) " if "angleA=60^(@)`

Text Solution

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The correct Answer is:
A, B, D
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