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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 `Delta XYZ` is `6sqrt6`

B

the radius of circum-circle of the `Delta XYZ is (35)/(6)sqrt6`

C

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

D

`sin ^(2) ((X+Y)/(2))=3/5`

Text Solution

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The correct Answer is:
A, C, D
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  • Let x,y an z be positive real numbers. Suppose x, y and z are the length of the sides of triangle opposite ot its angles, X,Y and Z respectively.If "tan" (X)/(2)+"tan"(Z)/(2)=(2y)/(x+y+x) then which of the following statement is/are TURE ?

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