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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°

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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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