Answer
The length of the altitude to the 19 yard side is 14 yards.
Work Step by Step
Let X represent the length of the altitude to the 19 yard side.
We can consider that side as the base of triangle and the altitude to that side as height of the triangle.
So, the base is 19 yards, and the area of the triangle is 133 square yards.
The formula for the area of a triangle is: Area = $\frac{base\ \times\ height}{2}$.
We substitute area with 133 square yards and the base with 19 yards in this formula to obtain:
133 = $\frac{19\ \times\ height}{2}$.
Multiply both sides by 2.
266 = 19 $\times$ height
Divide both sides by 19.
h=14
The length of the altitude to the19 yard side is 14 yards.
