If three angles of a triangle are in the ratio 2 : 6 : 1 . Find all the angles. What type of triangle is it​

Question

If three angles of a triangle are in the ratio 2 : 6 : 1 . Find all the angles. What type of triangle is
it​

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Nevaeh 7 months 2021-10-07T21:28:14+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-10-07T21:29:15+00:00

    Solution:Let the angleso f the triangle be 2x , 6x and x [ here x stands for a nom zero number]

    Now,

    2x+6x+x=180[Angle sum property]

    => 9x = 180

    =>. x = 180/9

    => x= 20

    therefore required angles are 2x= 2×20=40,6x=6×20=120 and x=20

    Since one its angle’s is 120° therefore the triangle is an obtuse trinagle [ Triangles having one angle more than 90° are called obtuse angle]

    Hope it helped you.

    0
    2021-10-07T21:30:08+00:00

    Step-by-step explanation:

    let the angles be 2x,6x,1x

    2x+6x+1x=180°

    9x=180°

    x=180°/9

    =20°

    angle1=2×20=40°

    angle2=6×20=120°

    angle3=1×20=20°

    it is obtuse angled ∆.

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