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If the sides of a triangle are proportional to 2, √6 and √3 – 1, find the measure of its greatest angle.

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If the sides of a triangle are proportional to 2, √6 and √3 – 1, find the measure of its greatest angle.

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1 Answer

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Lets say

a = 2x, b = √6x and c = (√3-1)x

where x is any constant

Now by putting cosine law

By Cosine law,

Putting Cosine law for B,

B = 120°

Putting Cosine law for C,

C = 15°

So, The largest Angle is 120° i.e. ∠B

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