Question : In a triangle ABC, AB = 6$\sqrt{3}$ cm, AC = 12 cm and BC = 6 cm. Then the measure of $\angle B$ is equal to:
Option 1: 90°
Option 2: 45°
Option 3: 70°
Option 4: 60°
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Correct Answer: 90°
Solution :
In $\triangle$ABC
(6$\sqrt{3}$)
2
+ (6)
2
= 36 × 3 + 36 = 144 = 12
2
⇒ $\triangle$ABC is a right-angled triangle with AC = 12 cm (longest side) as hypotenuse.
The angle opposite to AC i.e. $\angle$B is 90°.
Hence, the correct answer is 90°.
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