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| Math Central | Quandaries & Queries |
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Question from SUDHIR, a teacher: How can we find the all positive integral values for the third side of a triangle, whose other two sides measure 15 and 20 respectively. (No other information viz. the type of triangle, area, perimeter or angles etc. is given.) |
Hi Sudhir.
Any one side of a triangle must be shorter than the sum of the other two sides.
Therefore, the third side length x must be between 5 and 35, not including those endpoints:
5 < x < 35.
All whole numbers satisfying this range would form a triangle.
Cheers,
Stephen.
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