Biggest Bendy

Four rods are hinged at their ends to form a quadrilateral. How can you maximise its area?
Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
Being curious Being resourceful Being resilient Being collaborative

Problem



You may wish to try the problem Bendy Quad first.

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Biggest Bendy

 

Four rods are hinged at their ends to form a quadrilateral with fixed side lengths.

Show that the quadrilateral has a maximum area when it is cyclic.