Dreieck in ein flächengleiches Quadrat

Lösung mit Höhensatz

Lösung mit Kathetensatz

A = (-5.48727272727273, -2.6)
B = (4.5490909090909115, -4.709090909090909)
C = (2.1490909090909085, 0.32727272727272844)
Dreieck, c, a, b = Polygon(A, B, C)
f = Line(A, a)
g = Line(C, c)
h = LineBisector(C, B)
M = Intersect(h, a)
i = Line(M, c)
D = Intersect(f, i)
Parallelogramm, a_1, b_1, m, d = Polygon(A, B, M, D)
j = OrthogonalLine(A, c)
k = OrthogonalLine(B, c)
E = Intersect(j, i)
F = Intersect(k, i)
Rechteck, a_2, b_2, f_1, e = Polygon(A, B, F, E)
p = Circle(F, B)
G, H = Intersect(p, i)
q = Semicircle(E, H)
I = Intersect(q, k)
Vieleck1, l, n, r, s, J, K = Polygon(I, F, 4)
t = OrthogonalLine(G, m)
c_1 = Semicircle(E, F)
L = Intersect(c_1, t)
Vieleck2, g_1, h_1, i_1, j_1, N, O = Polygon(L, F, 4)