Aire d'un trapèze
Author: Guy Gervais
Date: 15 novembre 2011

Déplacez le point P pour observer d'où vient la formule de l'aire d'un trapèze.

Hauteur (h)

Grande base (B)

Petite base (b)

P

Grande base (B)

Petite base (b)

Aire = \frac{ (B + b)h }{ 2} 

2 Aire =  (B + b)h

Mesure de l'aire du trapèze

A = (-2.2600000000000002, 0.6)
B = (10.236399481450649, 0.6)
a = Line(A, B)
C = (1.1400000000000001, 3.44)
b = Line(C, a)
E = Point(a)
F = Point(a)
c = Segment(E, F)
G = Point(b)
H = Point(b)
d = Segment(G, H)
D = Point(d)
e = OrthogonalLine(D, d)
I = Intersect(e, c)
f = Segment(I, D)
g = Segment(E, H)
h = Segment(G, F)
J = Midpoint(g)
K = Intersect(c, h)
L = Intersect(d, h)
poly1, h_1, e_1, k, l = Polygon(H, E, K, L)
α = 0 rad (slider from 0 to 3.141592653589793, step 0.017453292519943295)
H' = Rotate(H, α, J)
E' = Rotate(E, α, J)
K' = Rotate(K, α, J)
L' = Rotate(L, α, J)
poly1', h', e', k', l' = Polygon(H', E', K', L')
β = Angle(c, f)
M = (2.6, -0.72)
N = (4.48, -0.74)
u = Vector(M, N)
O = (5.2, 5.84)
P = (10.76, 5.84)
Q = (10.76, 5.12)
R = (5.2, 5.12)
poly2, o, p, q, r = Polygon(O, P, Q, R)