The sides of a triangle are in AP (Arithmetic Progression) and the greatest angle exceeds the least angle by $90$ degrees prove that the sides are proportional to $7^{\frac{1}{2}}+1$ , $7^{\frac{1}{2}}$ and $7^{\frac{1}{2}}-1$.
I tried to use the following property "when the sides of a triangle are in AP then the $\cot$ of half the angles are also in AP" but I couldn't get anything please help.
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