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...
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Let the square side be 2a units.
b² = (2a)²+a²
b = √(5a²)
b = √(5)a units.
cos(atan(½)) = c/a
c = ⅕(2√(5))a unit.
d = b-c
d = √(5)a-⅕(2√(5))a
d = ⅕(3√(5))a units.
Calculating a.
1 = a²+ (⅕(3√(5...
Let s be 4 units.
It implies;
r = ¼(5*4)
r = 5 units.
a² = 32-32cos108
a = 6.472135955 units.
b = ½(a)
b = 3.2360679775 units.
Notice;
Angle BGC = 36°
cos18 = c/4
c = 3.80422606518 units.
sin...
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We will continue working hard to improve our standard because succes...
