In a triangle ABC, if 3 angle A =4 angle B = 6 angle C, calculate the angles. Who will give correct answer of this question. I will ma

Question

In a triangle ABC, if 3 angle A =4 angle B = 6 angle C, calculate the angles.
Who will give correct answer of this question. I will mark him brainliest ​

in progress 0
Margaret 3 weeks 2021-10-07T13:19:11+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-10-07T13:20:35+00:00

    Answer:

    Answer:

    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°

    0
    2021-10-07T13:21:06+00:00

    Given:

    In ∆ABC , 3∠A= 4∠B= 6∠C

    Let x= 3∠A= 4∠B= 6∠C

    X=3∠A

    ∠A= x/3

    X=4∠B

    ∠B= x/4

    X=6∠C

    ∠C= x/6

    By angle sum property

    ∠A+∠B+∠C= 180°

    Put the value of ∠A, ∠B, ∠C

    X/3+x/4+x/6= 180°

    L.c.m of 3,4,6 = 12

    (4x + 3x +2x) /12 = 180°

    9x = 12 × 180

    X= (12× 180) /9

    X= 240°

    ∠A= x/3

    ∠A= 240/3 = 80°

    ∠B= x/4

    ∠B= 240/4= 60°

    ∠C= x/6

    ∠C= 240/6 = 40°

    _____________________________

    Hence the angles be

    ∠A=80°

    ∠B=60°

    ∠C= 40°

    _____________________________

Leave an answer

Browse
Browse

18:9+8+9*3-7:3-1*13 = ? ( )