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The angles of a triangle are in the rati...

The angles of a triangle are in the ratio 4: 5: 6. Find the angles.

A

`48^(@),60^(@)and72^(@)`.

B

`48^(@),60^(@)and82^(@)`.

C

`58^(@),60^(@)and72^(@)`.

D

`48^(@),70^(@)and72^(@)`.

Text Solution

Verified by Experts

The correct Answer is:
A
Let the required angles be `(4x)^(@),(5x)^(@)and(6x)^(@)`. We know that the sum of the angles of a triangle is `180^(@)`.
`:.4x+5x+6x=180implies15x=180`
`impliesx=12`.
So, the required angles are
`(4xx12)^(@),(5xx12)^(@)and(6xx12)^(@),i.e.,48^(@),60^(@)and72^(@)`.
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Knowledge Check

  • The angles of a triangle are in the ratio 3:4:5 . Find the smallest angle radian.

    A
    `(5pi)/(12)`
    B
    `(pi)/(3)`
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  • The angles of a triangle are in the ratio 1:3:5 . Find the smallest angle radian.

    A
    `(pi)/(9)`
    B
    `(pi)/(3)`
    C
    `(5pi)/(9)`
    D
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