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from math import dist solution in Clear category for Similar Triangles by Adrian_Goh
from typing import List, Tuple
Coords = List[Tuple[int, int]]
from math import dist
def similar_triangles(coords_1: Coords, coords_2: Coords) -> bool:
t1 = [dist(coords_1[0],coords_1[1]), dist(coords_1[1], coords_1[2]), dist(coords_1[2], coords_1[0])]
t1.sort()
t2 = [dist(coords_2[0],coords_2[1]), dist(coords_2[1], coords_2[2]), dist(coords_2[2], coords_2[0])]
t2.sort()
return t1[0]/t2[0] == t1[1]/t2[1] == t1[2]/t2[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. 6, 2021
