“Mathematics is the most beautiful and most powerful creation of the human spirit.”
Stefan Banach
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Calculating Alpha.Let it be x.Notice.BCDE and ABFG are both square.Let the two equal red lengths be √(2) units each.a²+a² = √(2)²2a² = 2a² = 1a = 1 unit.a is the side length of square BCDE.b = y+ab =...
Calculating Theta.Let it be x.Notice.ABCD is a square.Let 1 unit be CP = DQ.It implies;a = 180-33-48a = 99°(b/sin99) = (1/sin33)b = 1.81347328615 units.b is the side length of the square.c = b-1c = 1...
Calculating MC ÷ DM.Notice.140 cm² is the area of the the ascribed rectangle.Let x be the length.xy = 140y = 140/x cm.y is the width of the rectangle.½*a*x = 38ax = 76a = 76/x cm.a is the height of t...
Calculating length y.Notice.8 cm is the radius of the circle.It implies, length y is;18² = 12²+y²y² = 324-144y² = 180y = √(180)y = 6√(5) cm.
Calculating length x.a² = (18+8)²+(4√(14))²a² = 900a = 30 units.a is the diameter of a half circle.b = ½(a)b = ½(30)b = 15 units.b is the radius of the half circle.cosc = (18+8)/ac = acos(26/30)c = a...
