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a = 45-atan(3/4)
a = 45-36.86989764584
a = 8.13010235416°
Where a is angle DCF.
b² = 2(5²)
b = 5√(2) cm.
Where b is CF = AE.
c² = (5√(2))²+4²-10√(2)*4cos8.13010235416
c = 3.16227766017 cm.
Wher...
Let the regular pentagon side be 1 unit.
sin72 = a/1
a = 0.9510565163 unit.
Let the side of the two inscribed congruent squares be b.
c = ½(b) unit.
b+½(b) = 0.9510565163
b = 0.63403767753 unit....
Let the longer diagonal be 1 unit.
(1/sin150) = (a/sin18)
a = 0.61803398875 units.
b = 12°
(1/sin150) = (c/sin12)
c = 0.41582338164 units.
d = 180-84-42
d = 54°
(e/sin54) = (0.41582338164/sin42...
Let the AC = AB = a (diameter of the semi circle).
Therefore;
sin22.5 = AD/AC
AD = asin22.5 units.
cos22.5 =CD/AC
CD = acos22.5 units.
Calculating a.
84+25+½(acos22.5)(asin22.5) = ½...
Notice;
Triangle ABC is equilateral.
Let the side of the regular pentagon be a.
Single interior angle of the regular pentagon is;
⅕(180*3)
= 108°
(HF)² = 2a²-2a²cos108
HF = 1.61803398875a units....
Let AB be 1 unit.
(1/sin40) = (BC/sin70)
BC = 1.46190220008 units.
(1.46190220008/sin120) = (AE/sin40)
AE = 1.08506357513 units.
(1.08506357513/sin40) = (CE/sin20)
CE = 0.57735026919 units.
BE =...
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a² = 12²-6²
a = 6√(3) cm.
Where a is BD.
b = ½(a)
b = 3√(3) cm.
Where b is BG = DG.
c = atan(6/(3√(3))
c = 49.10660535087°
Where c is angle AGD = angle BGE.
d = 60-49.10660535087
d = 10.893394649...
Screenshot of yesterday's teaching and learning activities with smart and clever Oghenevwarhe (year 8), Oghenemano (year 8), Ogheneruno (year 9), Destiny (year 10) and Ogheneruona (year 10).
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