In a triangle ABC if A – B = π/2, then C + 2 B is equal to :

(a) 2 π/3
(b) 3 π/4
(c) π
(d) π/2

Anurag Mishra Professor Asked on 20th February 2016 in Maths.
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1 Answer(s)

Answer: (d) π/2

Solution:-
A – B = π/2
A = π/2 + B

As we know that A + B + C = 180 (π)

Then, A + B + C = π
Put the value of A = π/2 + B,
So, π/2 + B + B + C = π
2 B + C = π – π/2
2 B + C = π/2

Hence, the correct answer is option (d) π/2.

Anurag Mishra Professor Answered on 20th February 2016.
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