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in Trigonometry by (53.1k points)

If sin A and sin B of a triangle ABC satisfy c2x2 – c(a + b)x + ab = 0, then the triangle is

(A)  equilateral 

(B)  isosceles 

(C)  right-angled 

(D)  acute angled 

1 Answer

+1 vote
by (53.3k points)
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Best answer

Correct option  (C) right-angled

sin A + sin B = c(a + b)/c2 = a + b/c = k sin A + k sin B/k sin C

Thus, C = π/2 ⇒ ΔABC is right-angled. 

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