Roger's Market Problem

Roger's market sells corn and vegetables off of Highway 218 north of Cedar Falls. The plot of land is in the shape of a large right triangle. The farmer wants to use half of the land for corn (yellow in picture) and half of the land for vegetables (green in picture. Where should point C be to give him the same area for both the corn and vegetables? Move point C to find and calculate the area on paper. Try several possibilities. To check if your calculated area is correct click on the appropriate boxes. *True story.
What is the area of planted corn? What is the area of planted vegetables?