1952 AHSME Problems/Problem 15
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Problem
The sides of a triangle are in the ratio . Then:
Solution
In a triangle with sides , , and , where , is acute if , right if , and obtuse if . If were equal to , would be right, as a multiple of the Pythagorean triple . Because , .
See also
1952 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 14 |
Followed by Problem 16 | |
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