One of the acute angles of a right-angled triangle is 22 degrees, and the legs are 12 cm and 30 cm.

One of the acute angles of a right-angled triangle is 22 degrees, and the legs are 12 cm and 30 cm. Find another acute angle and area of the triangle.

In any triangle, the sum of all angles is 180 °. In a right-angled triangle, two angles are known: an angle of 90 ° (triangle-rectangle) and 22 ° (by condition). The third angle is 90-22 = 68 °.
The area of a right-angled triangle can be found by half-product of the legs.
S = 1/2 * 12 * 30 = 180 cm ^ 2