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If A,A1,A2 and A3 are the areas of the i...

If `A,A_1,A_2` and `A_3` are the areas of the inscribed and escribed circles of a triangle, prove that `1/sqrtA=1/sqrt(A_1)+1/sqrt(A_2)+1/sqrt(A_3)`

A

`sqrt(A_(1))+sqrt(A_(2))+sqrt(A_(3))=sqrtpi(r_(1)+r _(2)+r_(3))`

B

`(1)/(sqrt(A_(1)))+(1)/(sqrt(A_(2)))+(1)/(sqrt(A_(3)))=(1)/(sqrtA)`

C

`(1)/(sqrt(A_(1)))+(1)/(sqrt(A_(2)))+(1)/(sqrt(A_(3)))=(s^(2))/(sqrtpir_(1)r_(2)r_(3))`

D

`sqrt(A_(1))+sqrt(A_(2))+sqrt(A_(3))=sqrtpi(4R+r)`

Text Solution

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A, B, C, D
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