In triangle ABC, angle C is 90∘, angle A is 30∘, AB = 98 cm. Find BC.

Given: triangle ABC – rectangular;
angle С = 90∘;
angle A is 30∘;
AB = 98 cm.
Find the length of the BC side -?
Solution: Knowing that in a right-angled triangle, the leg, lying opposite an angle of 30 degrees, is equal to half the hypotenuse. In our triangle, the leg BC lies opposite the angle A, and the angle A is 30∘. Hence:
BC = 1/2 * AB;
BC = 1/2 * 98;
BC = 49 centimeters.
Answer: 49 centimeters.



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