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Choose correct answer and give reason. In ∆ABC, if AB = 6√3 cm, AC = 12 cm and BC = 6 cm, then ∠B is :

(A) 120°

(B) 60°

(C) 90°

(D) 45°

1 Answer

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Best answer

Answer is (C) 90°

AC = 12 cm

AB = 6√3 cm

BC = 6 cm

AB2 + BC2 = (6√3)2 + (6)2

= 108 + 36

= 144 = (12)2 = AC2

Thus, AB2 + BC2 = AC2

By converse Pythagoras theorem

In ∆ABC ∠B = 90°

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