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If the angles are in the ratio 1: 5: 6, ...

If the angles are in the ratio 1: 5: 6, then find the ratio of its sides .

Text Solution

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The correct Answer is:
` sqrt3 -1 ; sqrt3 + 1: 2 sqrt2`
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Knowledge Check

  • If the angles of a triangles are in the ratio 1: 5: 6 then the ratio of its sides is

    A
    ` (sqrt3- 1) : ( sqrt3+ 1) : 2sqrt2`
    B
    ` (sqrt2- 1) : ( sqrt2+ 1) : 2sqrt2`
    C
    ` (sqrt3- 1) : ( sqrt2+ 1) : 2sqrt2`
    D
    ` (sqrt2- 1) : ( sqrt3+ 1) : 2sqrt2`
  • If the angles of a triangle are in the ratio 1:2:7 , then the ratio of the longest side to the smallest side is

    A
    `1:7`
    B
    `1:3`
    C
    `sqrt5+1:sqrt5-1`
    D
    `sqrt5-1:sqrt5+1`
  • IF the angles of a triangle are in the ratio 2:3:5 , then the ratio of the greatest side to the least side is

    A
    `2:sqrt(10-2sqrt5)`
    B
    `4:sqrt(10-2sqrt5)`
    C
    `2:sqrt(10+2sqrt5)`
    D
    `4:sqrt(10+2sqrt5)`
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