1983 AHSME Problems/Problem 29
Problem
A point lies in the same plane as a given square of side . Let the vertices of the square, taken counterclockwise, be and . Also, let the distances from to and , respectively, be and . What is the greatest distance that can be from if ?
Solution
Place the square in the -plane with as the origin, so that and We are given that so
Thus we see that lies on a circle centered at with radius The farthest point from on this circle is at the bottom of the circle, at in which case is
See Also
1983 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 28 |
Followed by Problem 30 | |
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