△ABC is acute-angled. (a) Explain why there is a square PQRS

Last updated: 8/9/2022

△ABC is acute-angled. (a) Explain why there is a square PQRS with Pon AB, Q and Ron BC, and Son 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 △ABC is 490√3.