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in Triangles by (32.3k points)
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In △ABC , AB = 6√3 , AC = 12 cm and BC = 6 cm. Then ∠B is

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Best 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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