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

Question

Philoid · Accepted Answer

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,

Putting Cosine law for C,

So, The largest Angle is 120° i.e. ∠B