The sides of the parallelogram are 8 cm and 14 cm, and one of the corners is 30 *. Find the area of the parallelogram.

In order to find the area of the parallelogram, let’s find the height. The height forms a right-angled triangle with angles of 30 ° (given in the assignment) and 60 ° (180 ° – 90 ° – 30 °). In such a right-angled triangle, the side opposite to the 30 ° angle is half the hypotenuse. This means that the height of the parallelogram is half the side:

8/2 = 4 cm;

Now let’s find the area of the parallelogram by multiplying the height by the bottom base:

S = 4 * 14 = 56 cm².