In triangle abc, angle c is 90 degrees ac = 2 ab = 2√5 find sin A.

univerkov | July 24, 2021 | education

By the Pythagorean theorem, we determine the length of the BC leg.

BC ^ 2 = AB ^ 2 – AC ^ 2 = 20 – 4 = 16.

BC = 4 cm.

Let us define the sine of the yang BAC.

SinBAC = BC / AB = 4/2 * √5 = 2 * √5 / 5.

Answer: The sine of the angle BAC is 2 * √5 / 5.

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