Question

if sinA+sinB+sinC=2,and A,B,C are the angles of a triangle. Then, what is the nature of the triangle?

Answer 1

angle A + angle B + angle C = 180
Nature of the triangle is equilateral
Because,
each angle of the equilateral triangle is 60.
Then,
Angle A = Angle B = Angle C = 60
Angle A + Angle B + Angle C = 180°
60+60+60 = 180
180 = 180.
LHS = RHS
THEREFORE,
TRIANGLE IS EQUILATERAL.