Triangle ABC angle С = 90 degrees BA = 10 cm angle СВА = 60 degrees find BC.

Since, by condition, the angle ACB = 90, then the triangle ABC is rectangular.

In a right-angled triangle, the sum of its acute angles is 900, then the angle BAC = (90 – CBA) = (90 – 60) = 30.

The BC leg lies opposite the angle 30, then its length is equal to half the length of the hypotenuse AB.

BC = AB / 2 = 10/2 = 5 cm.

Answer: The length of the BC leg is 5 cm.



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