In a triangle ABC, the angle is C = 90, AB = 12. The outside angle at apex B is 120. Find BC.

If the angle is C = 90, then it is a right-angled triangle.
Find angle B:
Angle B = 180 – 120 = 60;
Find angle A:
angle A = 90 – 60 = 30;
In a right-angled triangle, a leg opposite an acute angle of 30 ° is half the hypotenuse.
Means:
BC = AB / 2 = 12/2 = 6;
Answer: BC = 6



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