# In the ABC triangle, the angle is C = 90 (degrees). Leg BC = 3, hypotenuse AB = √13. find the tangent of angle A.

May 26, 2021 | education

| In order to solve this problem, you need to know the definition of the tangent. The tangent of a right triangle is the ratio of the opposite leg to the adjacent leg.

By the Pythagorean theorem, the square of the hypotenuse is equal to the sum of the squares of the legs. Find the AC leg.

AC ^ 2 = AB ^ 2 – BC ^ 2 = 13 – 9 = 4;

AC = 2;

tgA = BC / AC = 3/2.

Answer: tgA = 3/2.

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