Question

If in triangle ABC sin^2A+sin^2B+sin^2C=2 then what type of triangle is ABC ?

Answer 1

We can consider triangle ABC as a right triangle. But most appropriately we can say it a right isosceles triangle.

As its terms also satisfy the law:
sin²A + sin²B + sin²C = 2 + 2 cosA.cosB.cosC

Thus,  2cosA.cosB.cosC can only be diminished if one of them is right angle.

Answer 2

Here is a solution