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Find the radius of the circle escribed t...

Find the radius of the circle escribed to the triangle ABC (Shown in the figure below) on the side BC if `angleNAB=30^(@), angleBAC=30^(@), AB=AC=5`.

A

`((10sqrt(2)+5sqrt(3)-5)(2-sqrt(3)))/(2sqrt(2))`

B

`((10sqrt(2)+5sqrt(3)+5))/(2sqrt(2))(2-sqrt(3))`

C

`((10sqrt(2)+5sqrt(3)-5))/(2sqrt(2))(2+sqrt(3))`

D

`((10sqrt(2)+5sqrt(2)+1))/(2sqrt(3))(sqrt(3)-1)`

Text Solution

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The correct Answer is:
A
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