Isosceles Triangle within a Circle

Isosceles Triangle within a Circle

Created by Mr.Lafferty@mathsrevision.com

Centre

Tangent to the Circle

L1

L2

L3

∡  BDC

∡  DCB

∡  CBD

∡  CFH

∡  FHC

∡  HCF

L4

L5

D

G

F

H

Size = 4.5 (slider from 1 to 5, step 0.5)
C = (1, 3)
A = Intersect(xAxis, yAxis)
c = Circle(A, Size)
B = Point(c)
a = Line(A, B)
E = Point(c)
i = Segment(A, B)
b = OrthogonalLine(B, i)
D = Point(b)
G = Point(b)
f = Segment(D, G)
d = Segment(D, A)
F = Intersect(c, d, 1)
H = Point(c)
poly1, a_1, f_1, h_1 = Polygon(F, H, A)
e = false
g = false
j = false
α = Angle(A, B, D)
β = Angle(B, D, A)
γ = Angle(D, A, B)
δ = Angle(A, F, H)
ε = Angle(F, H, A)
ζ = Angle(H, A, F)
l = false
m = false
k = false
n = false
o = false
p = false
q = false
r = false
h = false
s = false
t = false
u = false