Question

17. Tick the correct answer and justify: In A ABC, AB= 6√3 cm, AC = 12 cm and BC = 6 cm.
The angle B is :
(A) 120°
(B) 60°
(C) 90°
(D) 45°​

Answer 1

Answer:

90 is the correct answer

Answer 2

Answer:

(C) 90*

Step-by-step explanation:

We check if the given triangle is a right angle triangle.

As AC is the biggest side, therefore it is the hypotenuse. We check this by using the Pythagoras theorem.

$AB^{2} + BC^{2} = AC^{2}$

$(6\sqrt{3} )^{2} + 6^{2} = 12^{2}$

$108 + 36 = 144$

$144 = 144$

Hence, it is proved that the given triangle is right angle triangle and angle B being the right angle at 90*