The area of the triangle is 117, and one of its sides is 18. Find the height that is pubescent on this side

From the condition, we know that the area of ​​the triangle is 117 sq. units, and the side of the triangle is also known to which the height is lowered – 18.

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 * 117/18 = 13 is the height of the triangle, lowered to side 18.