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∘
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Solution
(C) 90∘
Given that, AB = 6√3cm,AC=12cm, 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∘.