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Notice;
Green regular hexagon's side is 8 cm.
sin60 = a/8
a = 4√(3) cm
Where a is the the height of the white triangle enclosed by the two green regular hexagon and the regular pentagon.
b = 2a...
Let triangle ABC height be a.
Calculating a.
½*8a = 16√(3)
a = 4√(3) cm.
b²+a² = 8²
b = √(64-(4√(3))²)
b = √(64-48)
b = √(16)
b = 4 cm.
Considering similar triangle ratios.
8 = c
12 = 4√(3)
Cro...
2a² = 12²
a = 6√(2) cm.
a = square side = OE = OC.
b = 180-45
b = 135°
b = Angle OEF.
(12/sin135) = (6√(2)/sinc)
c = 30°
c = Angle EFO.
d = 180-135-30
d = 15°
d = Angle EOF.
It implies;
Length...
a = 180-75-35
a = 70°
(12/sin70) = (b/sin35)
b = 7.32464753257 cm.
c =2*35
c =70°
Calculating R, radius of the ascribed bigger circle.
d = ½(180-70)
d = 55°
R is;
(R/sin55) = (7.32464753257/si...
Let the radius of the inscribed circle be 2 units.
Calculating AB.
tanx = 2/a
a = 2/tanx
AB = 2+a
AB = 2+(2/tanx)
AB = (2tanx+2)/tanx
Calculating CD.
tanx = b/2
b = 2tanx
CD = 2+b
CD = 2+2tanx...
Let the two congruent lengths be 1 unit.
(1/sin66) = (a/sin96)
a = 1.08863974644 units.
a is BC.
(1.08863974644/sinb) = (1/sin48)
b = 54°
c = 180-54
c = 126°
c is angle BDC.
It implies, x the re...
Notice;
AB = 25 units.
cos30 = 8√(3)/a
a = 16 units.
tan30 = b/(8√(3))
b = 8 units.
Let the side of the regular hexagon be c.
c = ¼(AC)
Calculating AC.
((AC)/sin46) = (25/sin74)
AC = 18.708219...
Let the square side be 1 unit.
(1/sin150) = (a/sin15)
a = 0.51763809021 units.
a is AE = BE.
b = 90-15
b = 75°
b is angle EBC.
(CE)² = 0.51763809021²+1-2*0.51763809021cos75
CE = 1 unit.
It impli...
Let the hypotenuse of the inscribed triangle be 10 units.
Calculating the radius of the ascribed half circle.
Let it be a.
2a² = 10²
a² = 50
a = 5√(2) units.
a = 7.07106781187 units.
Calculating...
