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Question

Question 17
Tick the correct answer and justify:
In ΔABC,AB=63 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 = 63cm,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.

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