Question 17:

Tick the correct answer and justify: In ΔABC, AB = 6√3 cm, AC = 12 cm and BC = 6 cm.

The angle B is:
(A) 120° (B) 60°
(C) 90° (D) 45°

Answer:

Given that, AB = 6√3 cm , AC = 12 cm, and BC = 6 cm

It can be observed 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).

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