Trisecting a Triangle
P is point inside the triangle ABC.
Areas of the triangles PAB, PBC and PCA are shown. By moving P, can you make 2 of these triangles equal in area? How would you describe the position of P when you can do so? (You may click the checkbox to help you record position positions of P.)
Can you make all 3 triangles equal in area?
Can you suggest a similar question if P is outside the triangle ABC?