Solution:
We know that:
- Area of triangular pane = 576 in²
- Height of triangular pane = 48 in
- Area of triangle formula = 1/2 x Base x Altitude
Substituting the height and the area of the pane in the formula
- Area of triangle = 1/2 x Base x Altitude = 576 in²
- 1/2 x Base x 48 = 576 in²
Simplifying the LHS:
- 1/2 x Base x 48 = 576 in²
- Base x 24 = 576 in²
Dividing 24 both sides
- (Base x 24)/24 = 576/24
- Base = 576/24 = 24 in
Thus, the measure of the base is 24 inches.