If the sides of a triangle are in Arithmetic Progression and the greatest angle exceeds the smallest by α, show that the sides are in the ratio 1 - x : 1 : 1 + x , where x = √(1 - cos α)(7 - cos α)

- July 13th 2008, 07:35 AMfardeen_genChallenging proof (involving Arithmetic progressions in triangles)?
If the sides of a triangle are in Arithmetic Progression and the greatest angle exceeds the smallest by α, show that the sides are in the ratio 1 - x : 1 : 1 + x , where x = √(1 - cos α)(7 - cos α)

- July 14th 2008, 06:48 AMfardeen_gen
I have tried to solve the problem(but I doubt if the approach is correct). Please check the attachment.Is my method correct?

- July 14th 2008, 09:15 AMIsomorphism