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Question

In a triangle ABC, if 3 angleA = 4 angleB = 6 angleC, calculate the angle.


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Solution

Step 1: Obtain the equation for each angle.

Assume that, 3A=4B=6C=x.

Since, 3A=x .

A=x3...(1)

Similarly, 4B=x.

B=x4...(2)

Similarly, 6C=x.

C=x6...(3)

Step 2: Compute the required values.

Use angle sum property.

A+B+C=180°x3+x4+x6=180°4x+3x+2x12=180°9x12=180°3x4=180°x4=60°x=240°

Substitute the value of x in the equation 1.

A=240°3A=80°

Substitute the value of x in the equation 2.

B=240°4B=60°

Substitute the value of x in the equation 3.

C=240°6C=40°

Hence, the value of A,B and C are 80°,60° and 40° respectively.


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