35 lines
1.2 KiB
Python
35 lines
1.2 KiB
Python
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from typing import List
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import math
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def checkio(a: int, b: int, c: int) -> List[int]:
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"""
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α = arccos[(b² + c² − a²) ÷ 2bc]
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β = arccos[(a² + c² − b²) ÷ 2ac]
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γ = arccos[(a² + b² − c²) ÷ 2ab]
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"""
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try:
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alpha = round(math.degrees(math.acos((b ** 2 + c ** 2 - a ** 2) / (2 * b * c))))
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beta = round(math.degrees(math.acos((a ** 2 + c ** 2 - b ** 2) / (2 * a * c))))
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gamma = round(math.degrees(math.acos((a ** 2 + b ** 2 - c ** 2) / (2 * a * b))))
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angles = [alpha, beta, gamma]
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angles.sort()
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if angles[0] == 0:
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return [0, 0, 0]
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return angles
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except ValueError:
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return [0, 0, 0]
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# These "asserts" using only for self-checking and not necessary for auto-testing
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if __name__ == '__main__':
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print("Example:")
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print(checkio(4, 4, 4))
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assert checkio(4, 4, 4) == [60, 60, 60], "All sides are equal"
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assert checkio(3, 4, 5) == [37, 53, 90], "Egyptian triangle"
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assert checkio(2, 2, 5) == [0, 0, 0], "It's can not be a triangle"
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assert checkio(10, 20, 30) == [0, 0, 0], "It's can not be a triangle"
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print("Coding complete? Click 'Check' to earn cool rewards!")
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