Question

If P(5,-1) ,Q(-3,-2) and R(-1,8) are the vertices of triangle PQR, find the length of the median through P​

Answer 1

Answer:

√32

Step-by-step explanation:

let the co ordinates of the median be x and y

Apply mid point formula , get the co ordinates of M

apply distance formula , find the length of PM ,

where,

PM=length of the median

Answer 2

Answer:

√65 ≈ 8.1

Step-by-step explanation:

Coordinates of midpoint of QR are

[(- 3 - 1) / 2, (- 2 + 8) / 2] = (- 2, 3)

d = √[($x_{1}$ - $x_{2}$)² + ($y_{1}$ - $y_{2}$)²] = √[(-2-5)²+(3+1)²] = √65