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06/06/2021 12:28 pm
Topic starter
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°
1 Answer
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06/06/2021 12:30 pm
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).