In △ABC , AB = 6√3 , AC = 12 cm and BC = 6 cm. Then ∠B is – InterviewSolution

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1.

In △ABC , AB = 6√3 , AC = 12 cm and BC = 6 cm. Then ∠B is

Answer»

AB = 6√3 cm

⇒ AB² = 108 cm²

AC = 12 cm

⇒ AC² = 144 cm²

BC = 6 cm

⇒ BC² = 36 cm

∴ AC² = AB² + BC²

Since, the square of the longest side is equal to the sum of two sides, so ∆ABC is a right angled triangle.

∴ The angle opposite to ∠90°

Hence, the correct answer is option (c)

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