1956 AHSME Problems/Problem 43
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Problem 43
The number of scalene triangles having all sides of integral lengths, and perimeter less than is:
Solution
We can write all possible triangles starting with a minimum side length of
The first triple is not scalene, because two of the sides are equal. This leaves
scalene triangles.
-coolmath34
(If you see any cases I missed out, edit them in.)
See Also
1956 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 42 |
Followed by Problem 44 | |
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