In triangle ABC, angle C is 90 °, AC = 20, tgA = 0.5. Find BC.

From the definition of the tangent, it is known that the tangent of the angle α is the ratio of the opposite leg to the adjacent leg. In our case, the angle α is the angle A. Then: tgA = BC / AC. Find BC: BC = tgA * AC (the main property of the “cross to cross” proportion); BC = 0.5 * 20; BC = 10 (conventional units).
Answer: BC = 10 conventional units.



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