1. The problem asks to construct the graphs of the functions related to the triangle with vertices at (0,0), (20,0), and (20,5). 2. The triangle has three sides: the horizontal side from (0,0) to (20,0), the vertical side from (20,0) to (20,5), and the hypotenuse from (0,0) to (20,5). 3. The horizontal side is along the x-axis, so its equation is simply: $$y=0$$ 4. The vertical side is a vertical line at $x=20$, so its equation is: $$x=20$$ 5. The hypotenuse is a line passing through points (0,0) and (20,5). To find its equation, use the slope formula: $$m=\frac{5-0}{20-0}=\frac{5}{20}=\frac{1}{4}$$ 6. Using point-slope form with point (0,0): $$y=m x + b = \frac{1}{4}x + 0 = \frac{1}{4}x$$ 7. So the hypotenuse equation is: $$y=\frac{1}{4}x$$ 8. To summarize, the three functions representing the sides of the triangle are: - Horizontal side: $$y=0$$ - Vertical side: $$x=20$$ - Hypotenuse: $$y=\frac{1}{4}x$$ These can be graphed to visualize the triangle as described.