1968 AHSME Problems/Problem 12
Problem
A circle passes through the vertices of a triangle with side-lengths The radius of the circle is:
Solution
The triangle that goes through all the vertices of the triangle is the circumcircle of the triangle. , so the triangle is a right triangle.The radius of a circumcircle of a right triangle is half the hypotenuse.
See also
1968 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 11 |
Followed by Problem 13 | |
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