Three friends from three different cities want to meet for lunch.[br][br]You will choose three cities from the map and follow the instructions to construct the medians, altitudes and angle bisectors of the triangle.

1. Choose 3 towns. Mark each town with a point. Draw a triangle connecting the points (3 lines).[br][br]2. Medians (3 lines)[br]a. Mark the midpoints of each leg of the triangle, and draw the medians of the triangle.[br]b. Mark the point of intersection of the three medians.[br][br]3. Angle bisectors (3 more lines)[br]a. Draw the angle bisectors of each of the three angles.[br]b. Mark the point of intersection of the angle bisectors.[br][br]4. Altitudes (Just 3 more lines)[br]a. Draw the three altitudes of the triangle.[br]b. Mark the point of intersection of the altitudes.[br][br]5. Which point of intersection would make the best central meeting location?