1) Locate the midpoints D and E of [AB] and [AC] respectively.[br]2) Connect the two midpoints.[br][br][br][br]
Compare the length of [BC] and the length of the segment connecting the midpoints. What do you notice?
Compare the angles [math]\angle[/math]ADE and [math]\angle[/math]ABC. What do you notice?
What can you conclude about (DE) and (BC)?
In conclusion, the line segment joining the midpoints of two sides in a triangle is equal to _________ and ___________ to the third side of the triangle