In triangle ABC, angle C = 90 °, CD – height, angle A = α, AB = k. Find the lengths AC, BC, AD.
February 2, 2021 | education
| The ABC triangle is rectangular, then AC = AB * Cosα = k * Cosα.
BC = AB * Sinα = k * Sinα.
CD – height, then the triangle ACD is rectangular, then AD = AC * Cosα = k * Cos2α.
Answer: AC = AB * k * Cosα, BC = k * Sinα, AD = k * Cos2α.
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