Triangle Midpoints

You are only given the three midpoints of the sides of a triangle.

How can you construct the original triangle?

Is there more than one way to find the answer?

What similarities and differences can you see between this Triangle Midpoints problem, The Checkit Game with Addition https://aiminghigh.aimssec.ac.za/checkit-game/ and Polycircles https://aiminghigh.aimssec.ac.za/polycircles/

Click here for the TRIANGLE MIDPOINTS worksheet

Click here  for the TRIANGLE MIDPOINTS Notes for Teachers.

This problem is adapted from the NRICH task Triangle Midpoints with permission of the University of Cambridge. All rights reserved.