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Geometry 2. AABC is acute-angled. (a) Explain why there is a square PQRS with P on AB, Q and R on BC, and S

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Geometry 2. AABC is acute-angled. (a) Explain why there is a square PQRS with P on AB, Q and R on BC, and S on AC. (The intention here is that you explain in words why such a square must exist rather than by using algebra.) (b) If AB=35, AC 56 and BC=49, determine the side length of square PQRS. It may be helpful to know that the area of AABC is 4903.

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