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A and C are the opposite vertices of a square ABCD, and have coordinates (a,b) and (c,d), respectively. What are the coordinates of the vertices B and D? What is the area of the square?
Age 14 to 16
Challenge Level
Fermat was an amateur mathematician of great intellect. He wrote this problem:
Find the point whose sum of distances from the vertices (corners) of a given triangle is a minimum.
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NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.