Term: \space \frac{1}{2}·\left(a+c   \right) ·h

Längen von a, c und h in cm

Trapez - Flächeninhalt 

Z_a = 0 (slider from 0 to 10, step 0.1)
Z_c = 0 (slider from 0 to 10, step 0.1)
Z_h = 0 (slider from 0 to 10, step 0.1)
A = (-5.045, -5.065)
b_1: abs(Z_a)
B = Point(Circle[A, abs(Z_a)])
b_3 = Segment(A, B)
d_2 = OrthogonalLine(A, b_3)
e = Circle(A, Z_h)
C_1 = Intersect(e, d_2, 2)
f = Line(C_1, b_3)
D = Point(f)
g = Circle(D, Z_c)
C = Intersect(g, f, 2)
Vieleck1, a, b, c, d = Polygon(A, B, C, D)
i = Ray(A, B)
j = Ray(D, C)
F = Point(i)
k = OrthogonalLine(F, i)
G = Intersect(k, j)
h = Segment(G, F)
PunktVieleck1 = PointIn(Vieleck1)
TextVieleck1: "Flächeninhalt von  " + (Name[A]) + "" + (Name[B]) + "" + (Name[C]) + "" + (Name[D]) + " = " + Vieleck1 + " cm²"
A_1 = (12.32, 2.72)
b_5: abs(Z_a)
B_1 = Point(Circle[A_1, abs(Z_a)])
b_2 = Segment(A_1, B_1)
d_1 = OrthogonalLine(A_1, b_2)
e_1 = Circle(A_1, Z_h)
C_2 = Intersect(e_1, d_1, 2)
f_1 = Line(C_2, b_2)
D_1 = Point(f_1)
g_1 = Circle(D_1, Z_c)
C_3 = Intersect(g_1, f_1, 2)
Vieleck1_1, a_1, b_4, c_1, d_3 = Polygon(A_1, B_1, C_3, D_1)
i_1 = Ray(A_1, B_1)
j_1 = Ray(D_1, C_3)
F_1 = Point(i_1)
k_1 = OrthogonalLine(F_1, i_1)
G_1 = Intersect(k_1, j_1)
h_1 = Segment(G_1, F_1)
PunktVieleck1_1 = PointIn(Vieleck1_1)
A_2 = (11.78, -2.76)
b_8: abs(Z_a)
B_2 = Point(Circle[A_2, abs(Z_a)])
b_6 = Segment(A_2, B_2)
d_4 = OrthogonalLine(A_2, b_6)
e_2 = Circle(A_2, Z_h)
C_4 = Intersect(e_2, d_4, 2)
f_2 = Line(C_4, b_6)
D_2 = Point(f_2)
g_2 = Circle(D_2, Z_c)
C_5 = Intersect(g_2, f_2, 2)
Vieleck1_2, a_2, b_7, c_2, d_5 = Polygon(A_2, B_2, C_5, D_2)
i_2 = Ray(A_2, B_2)
j_2 = Ray(D_2, C_5)
F_2 = Point(i_2)
k_2 = OrthogonalLine(F_2, i_2)
G_2 = Intersect(k_2, j_2)
h_2 = Segment(G_2, F_2)
PunktVieleck1_2 = PointIn(Vieleck1_2)
A_3 = (11.52, -2.72)
b_{11}: abs(Z_a)
B_3 = Point(Circle[A_3, abs(Z_a)])
b_9 = Segment(A_3, B_3)
d_6 = OrthogonalLine(A_3, b_9)
e_3 = Circle(A_3, Z_h)
C_6 = Intersect(e_3, d_6, 2)
f_3 = Line(C_6, b_9)
D_3 = Point(f_3)
g_3 = Circle(D_3, Z_c)
C_7 = Intersect(g_3, f_3, 2)
Vieleck1_3, a_3, b_{10}, c_3, d_7 = Polygon(A_3, B_3, C_7, D_3)
i_3 = Ray(A_3, B_3)
j_3 = Ray(D_3, C_7)
F_3 = Point(i_3)
k_3 = OrthogonalLine(F_3, i_3)
G_3 = Intersect(k_3, j_3)
h_3 = Segment(G_3, F_3)
PunktVieleck1_3 = PointIn(Vieleck1_3)
A_4 = (12.5, -3.2)
b_{14}: abs(Z_a)
B_4 = Point(Circle[A_4, abs(Z_a)])
b_{12} = Segment(A_4, B_4)
d_8 = OrthogonalLine(A_4, b_{12})
e_4 = Circle(A_4, Z_h)
C_8 = Intersect(e_4, d_8, 2)
f_4 = Line(C_8, b_{12})
D_4 = Point(f_4)
g_4 = Circle(D_4, Z_c)
C_9 = Intersect(g_4, f_4, 2)
Vieleck1_4, a_4, b_{13}, c_4, d_9 = Polygon(A_4, B_4, C_9, D_4)
i_4 = Ray(A_4, B_4)
j_4 = Ray(D_4, C_9)
F_4 = Point(i_4)
k_4 = OrthogonalLine(F_4, i_4)
G_4 = Intersect(k_4, j_4)
h_4 = Segment(G_4, F_4)
PunktVieleck1_4 = PointIn(Vieleck1_4)
b_{15}: abs(Z_a)
b_{16}: abs(Z_a)
b_{17}: abs(Z_a)
A_5 = (12.6, -3.76)
b_{20}: abs(Z_a)
B_5 = Point(Circle[A_5, abs(Z_a)])
b_{18} = Segment(A_5, B_5)
d_{10} = OrthogonalLine(A_5, b_{18})
e_5 = Circle(A_5, Z_h)
C_{10} = Intersect(e_5, d_{10}, 2)
f_5 = Line(C_{10}, b_{18})
D_5 = Point(f_5)
g_5 = Circle(D_5, Z_c)
C_{11} = Intersect(g_5, f_5, 2)
Vieleck1_5, a_5, b_{19}, c_5, d_{11} = Polygon(A_5, B_5, C_{11}, D_5)
i_5 = Ray(A_5, B_5)
j_5 = Ray(D_5, C_{11})
F_5 = Point(i_5)
k_5 = OrthogonalLine(F_5, i_5)
G_5 = Intersect(k_5, j_5)
h_5 = Segment(G_5, F_5)
PunktVieleck1_5 = PointIn(Vieleck1_5)
b_{21}: abs(Z_a)
b_{22}: abs(Z_a)
b_{23}: abs(Z_a)
b_{24}: abs(Z_a)
b_{25}: abs(Z_a)
b_{26}: abs(Z_a)
b_{27}: abs(Z_a)
Text1_4: "=\frac{1}{2}·\left(" + (LaTeX[a_4]) + "+" + (LaTeX[c_4]) + "   \right) ·" + (LaTeX[h_4]) + "  \space cm²"
Text1_5: "=" + (LaTeX[((0.5 * (a_5 + c_5)) * h_5)]) + " \space cm²"
E = Point(j)
l = Segment(C, E)
H = Point(i)
m = Segment(B, H)
α = Angle(H, F, G)