In a triangle ABC, a cos A + b cos B+c cos C =s. Prove that
the triangle is equilateral.
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Answer:
Let ,
cos A + cos B + cos C Be 3x.
we know that,
Sum of all angles of a triangle = 180 Degree (s)
Therefore ,
3x = 180
x = 180/3 = 60 Degree
Hence ,
cos A + cos B + cos C = s
3 X 60 = 180
180 = 180 Proved..... Ans....
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