In triangle ABC, angle = 90 degrees, angle A = 60 degrees, AB = 32cm. Find the AC.

The side of a right-angled triangle can be found using the formula:

BC = AB * Tan (A) from this it follows:

BC = 32 * Tan (60);

BC = 32 * 1.73;

BC = 55.5.

The BC leg was found using the formula above.

By the Pythagorean theorem, we find the hypotenuse:

AC ^ 2 = BC ^ 2 + AB ^ 2;

AC ^ 2 = 32 ^ 2 + 55.5 ^ 2 = 4104;

AC = 64;

According to the Pythagorean theorem, the hypotenuse was determined, it is 64 cm.