# 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.

One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.