Notice;
GH = 8 units.
Calculating the side length of the regular pentagon.
a = 108-90
a = 18°
a is angle EFG.
b = 180-108-18
b = 54°
b is angle EGF.
(8/sin108) = (c/sin18)
c = 2.59935756986 uni...
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Let the adjacent base and adjacent height of the triangle be 3 units each.
a² = 2*3²
a = 3√(2) units.
b = ⅓(a)
b = ⅓(3√(2))
b = √(2) units.
c² = 2+9-6√(2)cos45
c = √(5) units.
(√(5)/sin45) = (√...
Let AB = 1 unit.
a² = 2-2cos108
a = 1.61803398875 units.
a is AD.
b = 108-36-18
b = 54°
b is angle DAF.
c = 108-36-30
c = 42°
c is angle ADF.
d = 180-54-42
d = 84°
d is angle AFD.
(1.6180339887...
Let the side length of the regular pentagon be 2 units.
a² = 2²-1²
a = √(3) units.
b² = 5-4cos108
b = 2.49721204096 units.
(2.49721204096/sin108) = (2/sinc)
c = 49.61382244056°
d = 90-c
d = 40.3...
Let BC be 1 unit.
tan60 = a/1
a = √(3) units.
b² = √(3)²+1
b² = 4
b = 2 units.
b is AB.
Area Blue is;
½*1*√(3)
= ½√(3) square units.
Calculating Area Green.
tanc = √(3)/(√(3)+1)
c = atan(½(3-√...
Let AB equal 1 unit.
(1/sin60) = (a/sin20)
a = 0.39493084363 units.
a is BC.
(1/sin60) = (b/sin100)
b = 1.1371580426 units.
b is AC.
(1.1371580426/sin110) = (c/sin10)
c = 0.21013831273 units.
c i...
Notice;
AE = BI = 5 units.
BF = 3 units.
a² = 8²+5²
a = √(89) units.
a is AB.
√(89)² = b²+5²
b = √(89-25)
b = 8 units.
b is DG.
DH = 8-GH
DH = 8-3
DH = 5 units.
It implies, area x is;
Area squa...
Let a be 1 unit.
(1/sin9) = (b/sin36)
b = 3.75738972957 units.
(AB)² = 3.75738972957²+1-2*3.75738972957cos135
AB = 4.52014702134 units.
(4.52014702134/sin135) = (f/sin18)
f = 1.97537668119 units....
Let the side length of the three congruent squares be 1 unit.
Area Orange is;
1²
= 1 square units.
Calculating Area Blue.
a² = 1+2²
a = √(5) units.
⅓ = b/1
b = ⅓ units.
c = 1+⅓
c...
