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SSS similar solution in Clear category for Similar Triangles by m07030402
from typing import List, Tuple
Coords = List[Tuple[int, int]]
def similar_triangles(coords_1: Coords, coords_2: Coords) -> bool:
# your code here
a1 = (list(coords_1[0])[0]-list(coords_1[1])[0])**2 + (list(coords_1[0])[1]-list(coords_1[1])[1])**2
b1 = (list(coords_1[0])[0]-list(coords_1[2])[0])**2 + (list(coords_1[0])[1]-list(coords_1[2])[1])**2
c1 = (list(coords_1[1])[0]-list(coords_1[2])[0])**2 + (list(coords_1[1])[1]-list(coords_1[2])[1])**2
d1 = sorted([a1,b1,c1])
a2 = (list(coords_2[0])[0]-list(coords_2[1])[0])**2 + (list(coords_2[0])[1]-list(coords_2[1])[1])**2
b2 = (list(coords_2[0])[0]-list(coords_2[2])[0])**2 + (list(coords_2[0])[1]-list(coords_2[2])[1])**2
c2 = (list(coords_2[1])[0]-list(coords_2[2])[0])**2 + (list(coords_2[1])[1]-list(coords_2[2])[1])**2
d2 = sorted([a2,b2,c2])
return d1[1]*d2[0]/d1[0] == d2[1] and d1[2]*d2[0]/d1[0] == d2[2]
if __name__ == '__main__':
print("Example:")
print(similar_triangles([(0, 0), (1, 2), (2, 0)], [(3, 0), (4, 2), (5, 0)]))
# These "asserts" are used for self-checking and not for an auto-testing
assert similar_triangles([(0, 0), (1, 2), (2, 0)], [(3, 0), (4, 2), (5, 0)]) is True, 'basic'
assert similar_triangles([(0, 0), (1, 2), (2, 0)], [(3, 0), (4, 3), (5, 0)]) is False, 'different #1'
assert similar_triangles([(0, 0), (1, 2), (2, 0)], [(2, 0), (4, 4), (6, 0)]) is True, 'scaling'
assert similar_triangles([(0, 0), (0, 3), (2, 0)], [(3, 0), (5, 3), (5, 0)]) is True, 'reflection'
assert similar_triangles([(1, 0), (1, 2), (2, 0)], [(3, 0), (5, 4), (5, 0)]) is True, 'scaling and reflection'
assert similar_triangles([(1, 0), (1, 3), (2, 0)], [(3, 0), (5, 5), (5, 0)]) is False, 'different #2'
print("Coding complete? Click 'Check' to earn cool rewards!")
Jan. 28, 2022
