Question

If P(3,4),Q(7,-2) 7andR(-2,-1) 7are the vertices of a triangle PQR write the equation of the median of the triangle through R

Answer 1

median through R.. therefore
mid point of PQ =({3+7}/2,{4-2}/2)
=(5,1)
slope of median through R
=1-(-1)/5-(-2)
=2/7
eqn. => y-1/x-5 =2/7
=>7y-7=2x-10
=>7y=2x-3
=>2x-7y=3

Answer 2

Answer:

Equation of median

$2x - 7y - 3 = 0$

Step-by-step explanation:

To Find the median through R

Step1: Find the mid point of PQ

P(3,4)

Q(7,-2)

Mid point S

$\frac{3 + 7}{2}, \frac{4 - 2}{2} \\ \\ (5, \: 1)$

Equation of a line passing through given two points

$\boxed{y - y_1 = \frac{y_2 - y_1}{x_2 - x_1} (x - x_1)} \\ \\ y - ( - 1) = \frac{1 - ( - 1)}{5 - ( - 2)} (x + 2) \\ \\ y + 1 = \frac{2}{7} (x + 2) \\ \\ 7y + 7 = 2x + 4 \\ \\ - 2x + 7y + 7 - 4 = 0 \\ \\ - 2x + 7y + 3 = 0 \\ \\ 2x - 7y - 3 = 0$

Hope it helps you.