The area of the triangle is 36 m2, find: the side, if it is known that the height drawn to this side is 4 m.

From the condition, we know that the area of ​​the triangle is 36 m2, and the height that is lowered to the side of the triangle is 4 m.

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 * 36/4 = 18 m side of the triangle to which the height equal to 4 m is lowered.