Stage: 4 Challenge Level: 
The triangle ABC is isosceles with a right angle at B. In each diagram the triangle ABC has either a circle or one of two (different) squares inscribed within it.
Which of the inscribed figures has the greatest area?
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Stage 5 needs dealing with. Long problems. smartphone. Pythagoras' theorem. Squares. Circles. Circle theorems. Inscribed polygons. Cosine rule. Area.
Published January 1998.
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