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

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 = (x - y)/3 = (x - z)/2 ` and area o incircle of the triangle XYZ is `(8pi)/3` , then

A

area of the triangle XYZ is `6 sqrt6`

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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