1985 AHSME Problems/Problem 3
Problem
In right with legs and , arcs of circles are drawn, one with center and radius , the other with center and radius . They intersect the hypotenuse in and . Then has length
Solution
Firstly, the Pythagorean theorem gives Also, and since they are both radii of the respective circles. Thus , and so .
See Also
1985 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 2 |
Followed by Problem 4 | |
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