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If the sides of a triangle are in the ratio 5:8:11 and `theta` denotes the angle opposite to the largest side of the triangle, then the value of `tan^2(theta/2)=`

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If the sides of a triangle are in the ratio 5:8:11 and theta denotes the angle opposite to the largest side of the triangle, then find the value of "tan"^2 theta/2 .

In a triangle the angle opposite the largest side is the largest.

Knowledge Check

  • If the angles of a triangle are in the ratio 3:4:5 , then the ratio of the largest side to the smallest side of the triangle is :

    A
    `sqrt(3)/2`
    B
    `(sqrt(3)+1)/(2sqrt(2))`
    C
    `(sqrt(3)+1)/2`
    D
    `(sqrt(3)+1)/sqrt(2)`

  • If the angles of a triangles are in the ratio 3 : 4: 5 then the ratio of the largest side to the smallest side of the triangle is

    A
    A. `(sqrt(3))/(2)`
    B
    B. `(sqrt(3 )+1)/(2sqrt(2))`
    C
    C. `(sqrt(3)+1)/(2)`
    D
    D. `(sqrt(3) )/(2sqrt(2))`

  • The sides of a triangle are in the ratio 1:sqrt3:2 then the angles of the triangle are in the ratio

    A
    A)`1:3:5`
    B
    B)`2:3:4`
    C
    C)`3:2:1`
    D
    D)`1:2:3`

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