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°

Question

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°

Team Careers360 · Accepted Answer

Correct Answer: 90°

Solution : In $ riangle$ABC
(6$\sqrt{3}$)²+ (6)² = 36 × 3 + 36 = 144 = 12²
⇒ $ riangle$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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Question : In a triangle ABC, AB = 63 cm, AC = 12 cm and BC = 6 cm. Then the measure of ∠B is equal to:Option 1: 90°Option 2: 45°Option 3: 70°Option 4: 60°

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Question : In a triangle ABC, AB = 6 $\sqrt{3}$ cm, AC = 12 cm and BC = 6 cm. Then the measure of $∠ B$ is equal to:
Option 1: 90°
Option 2: 45°
Option 3: 70°
Option 4: 60°