The area of a triangle is 21, and one of its sides is 6. Find the height dropped on this side?

From the condition, we know that the area of ​​the triangle is 21 square meters. units, as well as the side of the triangle to which the height is lowered – 6 is known.

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 * 21/6 = 7 is the height of the triangle, lowered to the side equal to 6.