The side of the triangle is 12.6 cm, and the height drawn to this side is 75% of the length

The side of the triangle is 12.6 cm, and the height drawn to this side is 75% of the length of this side. Find the area of the triangle.

To solve the problem, you first need to determine the height of the triangle.

To do this, multiply the length of the known side by the percentage.

In this case, we get:

12.6 * 75% / 100% = 12.6 * 0.75 = 9.45 cm.

In order to find the area of a regular triangle, you need to use the following formula:

S = 1/2 * a * h,

where:

S is the area of the triangle;

a – side of the triangle;

h is the height of the triangle.

Substitute the known values into the formula and get:

S = 1/2 * 12.6 * 9.45 = 59.535 cm ^ 2.