In a right-angled triangle ABC (angle C = 90 degrees), CK is perpendicular to AB, angle ACK = 60 degrees, AC = 28cm.

In a right-angled triangle ABC (angle C = 90 degrees), CK is perpendicular to AB, angle ACK = 60 degrees, AC = 28cm. Find the distance from the vertex C to the hypotenuse.

consider the triangle AСK: angle A = 180-90-60 = 30 °
so that the leg (СK) we divide the AC by 2 (and since the leg lying opposite an angle of 30 ° is equal to half the hypotenuse)
СK = 28/2 = 14 cm
answer: 14 cm



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