Question

In a LABC, 2LA= 3LB = 6LC , then find LA,LB and LC.
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Answer 1

Answer:

LB = 2/3 LA, LC = 2/6 LA= 1/3 LA.

Now,

In triangle ABC, By angle sum property

LA + LB + LC = 180 degrees.

LA + 2/3 LA + 1/3 LA = 180 degrees.

2 LA = 180 degrees.

therefore, LA = 90 degrees.

LB = 60 degrees.

LC = 30 degrees.