In triangle ABC, angle C is 90 degrees, AC = 12, tgA = 1.5. Find AC.
| June 15, 2021 | education
Most likely, it is necessary to find either AB or BC. Let’s solve and find both unknown sides.
Let us write down the definition of the tangent for angle A.
Tg A = BC / AC;
BC = AC * tg A = 12 * 1.5 = 18.
By the Pythagorean theorem, we find the hypotenuse AB.
AB = √ (BC² + AC²) = √ (18² + 12²) = √ (324 + 144) = √468 = 6√13.
Answer: the BC leg is 18, the AB hypotenuse is 6√13.
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