A Math Forum Project

Geometry Forum Problem of the 
Week

    Square on a Cartesian Coordinate System - Feb. 21-25, 1994

    Let ABCD be a square located on a Cartesian coordinate system with A at the origin, B on the y axis, and D on the x axis.P is a point in the interior of the square that is 3 units from A, 5 units from D, and 7 units from B. What is the length of a side of the square?
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    Correct solutions to the problem were submitted by:


    We received solutions from the students listed below. They all came close with their method, though they certainly aren't as accurate as the first two. Their answers are also included.

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2 July 1995