Investigating Mathematics with C.a.R.

Henrico County Public Schools

Construct a triangle using only the midpoints of its sides.

READ the instructions on the right and INTERACT with the C.a.R. applet below.

Investigation Steps

Given: Ma, Mb, and Mc are the midpoints of BC, AC, and AB, find the vertices of Δ ABC.

Hint: What is the relationship between the segment that connects to midpoints of the sides of a triangle and the base parallel to it?