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Tick the correct answer and justify : In Delta ABC, AB = root 6 3 cm, AC equals 12 cm and BC equals 6 cm. The angle B is : (A) 120° (B) 60° (C) 90° (D) 45°

Q17  Tick the correct answer and justify : In \Delta ABC  AB = 6 \sqrt 3  cm, AC = 12 cm and BC = 6 cm.
The angle B is :


(A) 120°

(B) 60°

(C) 90°

(D) 45°

Answers (1)
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In \Delta ABC  AB = 6 \sqrt 3  cm, AC = 12 cm and BC = 6 cm.

AB^2+BC^2=108+36

                           =144

                           =12^2

                           =AC^2 

It satisfies the pythagoras theorem.

Hence, ABC is a right angled triangle and right angled at B.

Option C is correct.

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