Question

In triangle ABC, if 3 angle =4 angle =6 angle, then =?

Answer 1

Hi ,

Let 3A = 4B = 6C = k ( k is a constant )

A = k/3 ; B = k/4 ; C = k/6

In ∆ABC ,

A + B + C = 180°

k/3 + k/4 + k/6 = 180

multiply each term with 12 , we get

4k + 3k + 2k = 180 × 12

=> 9k = 180 × 12

k = ( 180 × 12 )/9

k = 240

Therefore ,

A = k/3 = 240/3 = 80°,

B = k/4 = 240/4 = 60°,

C = k/6 = 240/6 = 40°

I hope this helps you.

: )

Answer 2

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