Draw an obtuse angled triangle. Draw all of its medians and show their point of concurrence.

Question

Philoid · Accepted Answer

Steps of constructions.

1. Draw an obtuse angled triangle.

2. Draw a perpendicular line from each verte× to its opposite’s side bisecting the opposite’s side.

3. After constructions of a perpendicular line from each verte×, these lines intersect each other at a point O(in fig).

4. So the AD is median of ∠ABE is median of ∠B and CF is median of ∠C. In addition, O is the point of concurrence.