A father owns a garden shaped like a parallelogram. He throws a coin at a point inside the garden and connects this point to the four vertices of the parallelogram, obtaining four triangles.[br][br]The father decides that one son will inherit two opposite triangles, and the other son will inherit the remaining two triangles.[br][br]One of the sons is unhappy and claims that the division is unfair.[br][br][b]Is he right? Justify your answer.[/b]

Move the cursor to Step 1 to construct the height of the triangle PCD: PE perpendicular to CD

Move the cursor to Step 2 to construct the height of the triangle PAB: PF perpendicular to AB.