1973 AHSME Problems/Problem 1
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Problem
A chord which is the perpendicular bisector of a radius of length 12 in a circle, has length
Solution
Draw a diagram as shown. Using the Pythagorean Theorem (or by using 30-60-90 triangles), half of the chord length is , so the chord’s length is
. One can also find the length directly by using the Law of Cosines.
See Also
1973 AHSME (Problems • Answer Key • Resources) | ||
Preceded by First Problem |
Followed by Problem 2 | |
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All AHSME Problems and Solutions |