In triangle ABC, angle A = 90 degrees AB = 12 centimeters cosACB = 0.6 Find BC

univerkov | September 30, 2021 | education

Since CosACB = 6/10 = 3/5 = AC / BC, then let AC = 3 * X, BC = 5 * X cm.

Then, by the Pythagorean theorem, BC ^ 2 = AB ^ 2 + AC ^ 2.

25 * X ^ 2 = 144 + 9 * X ^ 2.

16 * X ^ 2 = 144.

X ^ 2 = 144/16 = 9.

X = 3.

Then BC = 5 * 3 = 15 cm.

Answer: The length of the BC side is 15 cm.

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