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In a triangle XYZ, let x, y, z be the le...

In a triangle XYZ, let x, y, z be the lengths of sides opposite to the angles X, Y, Z, respectively, and 2s = x + y + z. If `(s-x)/4=(s-y)/3=(s-z)/2` of incircle of the triangle XYZ is `(8pi)/3`

A

area of the triangle XYZ in `6sqrt(6)`

B

the radius of circumcircle of the triangle XYZ is `(35)/(6) sqrt(6)`.

C

`sin (X)/(2) sin (Y)/(2) sin (Z)/(2) = (4)/(35)`

D

`sin^2 ((x+y)/(2)) = (3)/(5)`

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The correct Answer is:
A, C, D
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