The area of the triangle is 36 m2, find the height knowing that the side to which the height is lowered is 12m.

From the condition, we know that the area of ​​the triangle is 36 m2, and the side of the triangle to which the height is lowered is also known – 12 m.

In order to find the height of a triangle, which is lowered to the side of a triangle of known length, we will use the formula to find the area of ​​a triangle through the side and the height lowered to it.

Let’s remember the formula for finding the area:

S = 1/2 * b * h, where b and h are the side and the height lowered to this side, respectively.

Let’s express the height:

h = 2S / b;

Substitute and calculate:

h = 2 * 36/12 = 6 meters the height of the triangle, lowered to the side of 12 m. 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.