Check if point is inside triangle

is_inside_triangle.py

from numpy.linalg import det

def solve(v, v0, v1, v2):
    "See: https://mathworld.wolfram.com/TriangleInterior.html"
    x = (det([v, v2]) - det([v0, v2])) / det([v1, v2])
    y = -((det([v, v1]) - det([v0, v1])) / det([v1, v2]))
    return x, y

for x, y in ([5, 2.5], [6, 2.5], [5, 12], [6, 12]):
    a, b = solve(v=[x, y], v0 = [0, 0], v1 = [5, 10], v2 = [10, 0])
    print(f'x={x}, y={y}\ta={a:.05}, b={b:0.5}\ta, b > 0 = {a > 0 and b > 0}  \ta+b < 1={a+b < 1}')