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The angles of a triangle are in A.P. The...

The angles of a triangle are in A.P. The greatest angle is twice the least. Find all the angles of the triangle.

Text Solution

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The correct Answer is:
Hence the angles of the triangle are `40^(@) , 60^(@) , and 80^(@)`.
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Knowledge Check

  • If n,n+1,n+2 where n in N , represent the sides of a triangle ABC, in which the largest angle is twice the smallest, then n is equal to

    A
    `1`
    B
    `2`
    C
    `3`
    D
    `4`

  • If the angles of a triangle are in the ratio 1 : 2 : 3 , then the sides are in the ratio :

    A
    `1 : sqrt(3) :2`
    B
    `sqrt(3) : 1 : 2`
    C
    `sqrt(3) : sqrt(2) :1`
    D
    `1 : sqrt(3) : sqrt(2)`

  • If the angles of a triangle are in the ratio 3:4:5 , then the sides are in the ratio

    A
    `2:sqrt(6):sqrt(3)+1`
    B
    `sqrt(2):sqrt(6):sqrt(3)+1`
    C
    `2:sqrt(3):sqrt(3)+1`
    D
    `3:4:5`

    • Similar Questions

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