in a triangle ABC, if 3=angle a, 4=angle b and 6 =angle c then calculate abc​

Question

in a triangle ABC, if 3=angle a, 4=angle b and 6 =angle c then calculate abc​

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Delilah 3 days 2021-10-11T13:54:22+00:00 1 Answer 0 views 0

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    2021-10-11T13:56:19+00:00

    Step-by-step explanation:

    Given parameters

    In ΔABC,

    3∠A = 4∠B= 6∠C

    Let us consider x = 3∠A = 4∠B = 6∠C

    x = 3∠A

    ∠A = x/3………………….(1)

    x = 4∠B

    ∠B = x/4…………………..(2)

    x = 6∠C

    ∠C = x/6…………………….(3)

    By using angle sum property

    ∠A + ∠B + ∠C = 1800

    Put the values of ∠A, ∠B, ∠C

    x/3 + x/4 + x/6 = 1800

    Let us find the L.C.M of 3,4,6 i.e 12

    (4x + 3x + 2x)/12 = 1800

    9x = 2160

    x = 2400

    Substitute the value of x in eqaution (1), (2) and (3)

    ∠A= x/3

    ∠A= 240/3 = 80°

    ∠B= x/4

    ∠B= 240/4= 60°

    ∠C= x/6

    ∠C= 240/6 = 40°

    hope it helps!!

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