In a right-angled triangle ABC, angle C = 90 degrees, angle B = 60 degrees, side AB = 15cm. Find BC?

Because in a right-angled triangle, the sum of two acute angles is 90 °, then we find the value of angle A.

∠А = 90 ° – 60 ° = 30 °.

In a right-angled triangle, the leg, opposite an angle of 30 °, is equal to half the hypotenuse.

So the leg BC = ½ AB.

BC = ½ * 15 = 7.5 (cm).

Answer: BC leg = 7.5 cm.



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