Rectangle with Maximum Area Inscribed in a Triangle
- Irina Boyadzhiev
Given is ∆ ABC. Rectangle DEFG is inscribed in ∆ ABC. Find the rectangle with maximum area. Drag point D on segment AB to construct several inscribed rectangles. 1. Click on "Test by folding" and drag the green points to fold the blue parts of the triangle over the inscribed rectangle.
- Move Point D on AB and observe for what position of D the reflected triangles will not overlap.
- What should be the side of the rectangle with maximum area?
- What is the maximum area of the rectangle as a fraction of the area of the triangle?
- Drag D or click the Play button.