Propirétés des triangles
Author: Daniel Mentrard

A

B

C

Triángulo acutángulo

Triángulo obtusángulo

Triángulo rectángulo

Triángulo isósceles

Triángulo equilátero

Las tres alturas

Las tres medianas

Las tres mediatrices

Circumferencia inscrita

Las tres bisectrices

Circumferencia circumscrita

Altura desde A

Mediana desde A

Una mediatriz

La bisectriz de vértice A

t = 2 (slider from 1 to 5, step 1)
a = If(t ≟ 1.0, 7.0, If[t ≟ 2.0, 5.0, If[t ≟ 3.0, 10.0, If[t ≟ 4.0, 7.0, If[t ≟ 5.0, 6.0]]]])
b = If(t ≟ 1.0, 5.0, If[t ≟ 2.0, 7.0, If[t ≟ 3.0, 8.0, If[t ≟ 4.0, 6.0, If[t ≟ 5.0, 6.0]]]])
c = If(t ≟ 1.0, 6.0, If[t ≟ 2.0, 4.0, If[t ≟ 3.0, 6.0, If[t ≟ 4.0, 6.0, If[t ≟ 5.0, 6.0]]]])
A = (5.796934910317678, 11.30395119457837)
B = Point(Circle[A, c])
d = Segment(A, B)
T1: c + " cm"
C = Intersect(Circle[A, b], Circle[B, a], 1.0)
T2: b + " cm"
T3: a + " cm"
poly1, c_1, a_1, b_1 = Polygon(A, B, C)
D = Midpoint(c_1)
E = Midpoint(a_1)
F = Midpoint(b_1)
α = Angle(A, C, B)
n = Segment(A, Intersect[Line[A, B], OrthogonalLine[C, c_1]])
r = Segment(A, Intersect[Line[A, C], OrthogonalLine[B, b_1]])
C1 = (7.718516470487055, 13.42124939513538)
f = false
g = false
h = false
i = false
j = false
k = false
e = Line(A, C)
l = Line(C, B)
m = Line(A, B)
p = OrthogonalLine(A, l)
q = OrthogonalLine(B, e)
s = OrthogonalLine(C, m)
G = Intersect(m, s)
I = Intersect(p, l)
K = Intersect(q, e)
β = Angle(B, K, C)
γ = Angle(B, G, C)
δ = Angle(A, I, B)
H = Intersect(s, p)
ε = Angle(C, G, A)
ζ = Angle(B, I, A)
poly2, c_2, a_2, b_2 = Polygon(A, B, C)
poly3, c_3, a_3, b_3 = Polygon(A, B, C)
poly4, c_4, a_4, b_4 = Polygon(A, B, C)
η = Angle(B, A, C)
poly5, c_5, a_5, b_5 = Polygon(A, B, C)
a1 = OrthogonalLine(F, e)
b1 = OrthogonalLine(E, l)
c1 = OrthogonalLine(D, m)
H_1 = Intersect(b1, a1)
d1 = Circle(H_1, A)
e1 = Segment(A, E)
f1 = Segment(C, D)
g1 = Segment(B, F)
h1 = AngularBisector(A, C, B)
J = Point(h1)
i1 = Ray(C, J)
j1 = AngularBisector(B, A, C)
M = Point(j1)
k1 = Ray(A, M)
l1 = AngularBisector(C, B, A)
N = Point(l1)
m1 = Ray(B, N)
O = Intersect(m1, k1)
o = true
n1 = OrthogonalLine(O, l)
P = Intersect(l, n1)
p1 = Circle(O, P)
q1 = Segment(O, P)
θ = Angle(O, P, B)
u = false
v = false
L = Intersect(a_1, a_2)
Q = Point(b1)
ι = Angle(Q, E, B)
R = Point(a1)
S = Point(c1)
κ = Angle(R, F, C)
λ = Angle(B, D, S)
T = (2.718845929675968, 12.407081349490428)
w = false
U = (13.536638416555473, 13.705928144790104)
V = (18.3939695825392, 13.723720566643525)
W = (18.42955442624604, 6.980392684197255)
Z = (13.554430838408893, 6.998185106050675)
poly6, u_1, v_1, w_1, z = Polygon(U, V, W, Z)
poly7, c_6, a_6, b_6 = Polygon(A, B, C)
μ = Angle(A, C, B)
ν = Angle(C, B, A)
ξ = Angle(B, A, C)
ο = Angle(A, C, B)
ρ = Angle(C, B, A)
T4: "Escoged aquí el tipo de triángulo: " + t