SOLUTION: Hi, here is my problem that I have. I'm pretty sure it uses the distance/midpoint formula. There is no picture for this. A(1,3), B(7,5), C(9,-3) are the vertices of Triangle ABC

Algebra ->  Length-and-distance -> SOLUTION: Hi, here is my problem that I have. I'm pretty sure it uses the distance/midpoint formula. There is no picture for this. A(1,3), B(7,5), C(9,-3) are the vertices of Triangle ABC      Log On


   



Question 1005548: Hi, here is my problem that I have. I'm pretty sure it uses the distance/midpoint formula.
There is no picture for this.
A(1,3), B(7,5), C(9,-3) are the vertices of Triangle ABC. E is the midpoint of AB, and F is the midpoint of BC. Show that EF is parallel to AC.

Answer by ikleyn(52802) About Me  (Show Source):
You can put this solution on YOUR website!
.
The straight line connecting midpoints of two sides of a triangle is parallel to the third side of the triangle.

It is well known and famous / general property  (theorem)  which valid for any triangle in a plane.

See the lesson  The line segment joining the midpoints of two sides of a triangle  in this site.