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Trigonometry solution in Clear category for The Angles of a Triangle by PositronicLlama
"""Return the interior angles of a triangle."""
import math
def checkio(a, b, c):
"""
Return the interior angles of a triangle in ascending order as a list.
Return [0, 0, 0] if the side lengths a, b, c cannot form a triangle.
"""
a, b, c = sorted((a, b, c))
if a + b <= c:
return [0, 0, 0]
a2, b2, c2 = a**2, b**2, c**2
angles = (math.acos((a2+b2-c2) / (2*a*b)),
math.acos((a2+c2-b2) / (2*a*c)),
math.acos((b2+c2-a2) / (2*b*c)))
return list(sorted(round(math.degrees(a)) for a in angles))
if __name__ == '__main__':
assert checkio(4, 4, 4) == [60, 60, 60], "All sides are equal"
assert checkio(3, 4, 5) == [37, 53, 90], "Egyptian triangle"
assert checkio(2, 2, 5) == [0, 0, 0], "It's can not be a triangle"
Aug. 25, 2013
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