a6dfd2c11e
Co-authored-by: github-actions[bot] <41898282+github-actions[bot]@users.noreply.github.com>
36 lines
1.2 KiB
Markdown
36 lines
1.2 KiB
Markdown
# Instructions
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Determine if a triangle is equilateral, isosceles, or scalene.
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An _equilateral_ triangle has all three sides the same length.
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An _isosceles_ triangle has at least two sides the same length.
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(It is sometimes specified as having exactly two sides the same length, but for the purposes of this exercise we'll say at least two.)
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A _scalene_ triangle has all sides of different lengths.
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## Note
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For a shape to be a triangle at all, all sides have to be of length > 0, and the sum of the lengths of any two sides must be greater than or equal to the length of the third side.
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~~~~exercism/note
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_Degenerate triangles_ are triangles where the sum of the length of two sides is **equal** to the length of the third side, e.g. `1, 1, 2`.
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We opted to not include tests for degenerate triangles in this exercise.
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You may handle those situations if you wish to do so, or safely ignore them.
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~~~~
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In equations:
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Let `a`, `b`, and `c` be sides of the triangle.
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Then all three of the following expressions must be true:
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```text
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a + b ≥ c
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b + c ≥ a
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a + c ≥ b
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```
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See [Triangle Inequality][triangle-inequality]
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[triangle-inequality]: https://en.wikipedia.org/wiki/Triangle_inequality
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