Let the side length of the regular heptagon be 1 unit.
a = ⅐(180*5)
a = ⅐(900)°
b = 0.5(360-2(900/7))
b = ⅐(360)°
c = 2cos(360/7)+1
c = 2.24697960372 units.
d² = 2-2cos(90/7)
d = 1.8019377358 un...
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1. Practice Makes Everyone Better
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18² = 14²+16²-2*14*16cosa
448cosa = 14²+16²-18²
a = acos((14²+16²-18²)/448)
a = 73.39845040098°
(18/sin73.39845040098) = (14/sinb)
b = 48.18968510422°
c = 180-48.18968510422-73.39845040098
c = 58....
Let AB be 5 units.
Radius, r of the inscribed circle is;
5*(2/5)
r = 2 units.
a = ⅛(180*6)
a = 135°
2b² = 25
b = ½(5√(2)) units.
c = 180-0.5(135)-45
c = 67.5°
sin22.5 = ½(5√(2))/d
d = 9.23879...
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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....
1. Question everything
When looking at something that is said to be true, see if you can prove it. If someone tells you something is true, ask them to prove it to you. Trying to prove something to...
m⁶(m³+1) = 36
Let p = m³
Therefore;
m⁶ = m³*m³ = p*p = p²
It implies;
p²(p+1) = 36
p³+p² = 36
Using Substitution Approach (Substituting prime factor of 36 only in the equation 'p³+p² = 36' to...
