Question

If the middle points of the sides BC,CA and AB of the triangle ABC be (1,3),(5,7) and (−5,7), then the equation of the side AB is ______

Answer 1

The line AB will be parallel to the line joining midpoints of AC and BC  

∴ Slope of AB =$y_{2} -y_{1}\frac}\frac{}{} { x_{2} -x_{1}$=(7-3)/(5-1)=4/4=1

The equation of  AB

:y−7=1(x+5)

∴x−y+12=0

Step-by-step explanation: