PbOuvertDistance1
Author: C. Douriez / F.Gonet
Date: 12 Novembre 2006

ABCD est un rectangle. M est un point dont on connaît les distances aux points A, B et C.
Quelle est la distance de M à D?

La démonstration repose sur le Théorème de Pythagore.

AM:

BM:

CM:

c = 17
M = (0, 2.5)
b = 19
a = 9
Cercle1 = Circle(M, a)
A = Point(Cercle1)
Cercle2 = Circle(M, c)
C = Point(Cercle2)
l_1 = Segment(A, M)
l_3 = Segment(C, M)
Cercle4 = Semicircle(A, C)
Cercle3 = Circle(M, b)
B = Intersect(Cercle4, Cercle3, 2)
I = Midpoint(A, C)
D = Mirror(B, I)
P, a_1, b_1, c_1, d_1 = Polygon(A, B, C, D)
l = Segment(M, D)
l_2 = Segment(M, B)