Triangle Area Investigation

Perp-Area

Base-Area

A = (-0.46981688519518855, 1.3109737742523964)
B = (0.34967631123016724, 1.915648365789562)
a = Segment(A, B)
C = Point(a)
c = Circle(B, A)
d = Circle(B, C)
D = Point(d)
E = Point(c)
Area, e, b, d_1 = Polygon(B, D, E)
f = Line(E, D)
g = OrthogonalLine(B, f)
F = Intersect(g, f)
h = Segment(B, F)
i = Segment(E, D)
P: (h, Area)
j = Segment(D, F)
loc2 = Locus(P, D)
k = false
Q: (i, Area)
loc3 = Locus(Q, D)
l = false
Perimeter = Perimeter(Area)
S_1: (h, Perimeter)
loc4 = Locus(S_1, D)
S_2: (i, Perimeter)
loc5 = Locus(S_2, D)
AP_{=xy}: (Area, Perimeter)
loc6 = Locus(AP_{=xy}, D)