Tick the correct answer and justify: In ΔABC, AB = 6$$\sqrt{3}$$ cm, AC = 12 cm and BC = 6 cm. The angle B is:

(A) 120°

(B) 60°

(C) 90°

(D) 45°

Asked by Pragya Singh | 1 year ago |  86

##### Solution :-

Given, in ΔABC, AB = 6√3 cm, AC = 12 cm and BC = 6 cm.

We can observe that,

AB2 = 108

AC2 = 144

And, BC2 = 36

AB2 + BC2 = AC2

The given triangle, ΔABC, is satisfying Pythagoras theorem.

Therefore, the triangle is a right triangle, right-angled at B.

∠B = 90°

Hence, the correct answer is (C).

Answered by Abhisek | 1 year ago

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