The area of a triangle is 123, and the height to the side of this triangle is 16. Find the side of the triangle.

From the condition, we know that the area of ​​the triangle is 123 square meters. units, as well as the known height that is lowered to the side of the triangle is 16.

In order to find the side of the triangle, to which the height is lowered, we will use the formula to find the area of ​​the 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 side:

b = 2S / h;

Substitute and calculate:

b = 2 * 123/16 = 15.375 side of the triangle to which the height equal to 16 is dropped.