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Create symbolic geometric objects (Triangle(), Segment(), Point(), etc.)
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Gathers implicit information created by previous constructions
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Solves for unknown measures and expressions
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Use the solve() function to solve for unknown measures and expressions
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Choose which metric you would like to solve for (measure, area, a ratio, etc.)
# PyPi Installation
pip install euclipy
# Note: This is an implementation of Problem 17 from the 2016 AMC 12B Competition
from euclipy.polygon import Triangle
from euclipy.geometricobjects import Angle, Line, Segment
if __name__ == '__main__':
# Create a triangle
Triangle('A C B')
# Define lines within the triangle
Line('A P Q H')
Line('C P E')
Line('B Q D')
Line('A E B')
Line('B H C')
Line('C D A')
# Define triangle edge measures
Segment('A C').measure = 9
Segment('C B').measure = 8
Segment('A B').measure = 7
# Create an altitude of Triangle(ACB)
Angle('C H A').measure = 90
# Create angle bisectors in Triangle(ACB)
Angle('C B D').measure = Angle('D B A').measure
Angle('E C B').measure = Angle('A C E').measure
# Solve for and print the measure of Segment(PQ)
print(Segment('P Q').solve())