I need help with my homework
The triangle PQR has the following coordinates, P(-2,4) Q(-4,-4) R(6,0)
Calculate the thre medians of the triangle using the midpoint fomula.
Fomula: M = (x1+x2/2), (y1+y2/2)
Can you help me out?
You start by using the midpoint formula three times. First, find the midpoint of PQ. Let (x1, y1) be P(-2, 4) and let (x2, y2) be Q(-4, -4):
$\displaystyle \begin{aligned}
M_{PQ} &= \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right) \\
&= \left(\frac{-2 + (-4)}{2}, \frac{4 + (-4)}{2}\right) \\
&= (-3, 0)
\end{aligned}$
You have two points to find the equation of this median $\displaystyle M_{PQ} (-3, 0)$ and R(6, 0). Find the slope, use point-slope form or slope-intercept form to find this equation. You'll see that the equation is y = 0.
Repeat the process to find the midpoint of QR. Let (x1, y1) be Q(-4, -4) and let (x2, y2) be R(6,0). Find the equation of the line between $\displaystyle M_{QR}$ and P. Then do it one last time for PR, and find the equation of the line between $\displaystyle M_{PR}$ and Q.
01