Exercice 12 03 2007
Author: wouf
Date: 12 mars 2007

Bouger le point E, pour quel valeur de x EFGC est-il carré?

Soit ABC un triangle rectangle en C
avec AB = 10 cm et BC = 6 cm.
Soit E un point de [BC] tel que BE = x. 

B = (-1, -0.6666666666666666)
C = Point(Circle[B, 6])
a = Segment(B, C)
b = OrthogonalLine(C, a)
c = Circle(B, 10)
A = Intersect(c, b, 2)
d = Segment(A, C)
e = Segment(B, A)
E = Point(a)
f = Segment(B, E)
T2: "BE=x=" + f
g = OrthogonalLine(E, a)
F = Intersect(e, g)
h = OrthogonalLine(F, d)
G = Intersect(d, h)
i = Segment(F, E)
j = Segment(F, G)