The area of a triangle is 80 square meters and the base measures 20 meters. Find the number of meters in the measure of the altitude.
A = 1/2bh
80 = (1/2) * 20 * h
To find the length of the altitude of a triangle, we can use the formula:
Area = (1/2) * base * altitude
Given that the area of the triangle is 80 square meters and the base measures 20 meters, we can substitute the values into the formula:
80 = (1/2) * 20 * altitude
To find the altitude, we need to isolate it on one side of the equation. Let's solve for altitude:
Multiply both sides of the equation by 2:
2 * 80 = 20 * altitude
Simplify the equation:
160 = 20 * altitude
Divide both sides of the equation by 20:
160 / 20 = altitude
Simplify:
8 = altitude
Therefore, the altitude of the triangle measures 8 meters.