Calculating Length PQ.x+a = y+2a4+a = 3+2aa = 1 unit.b = y+ab = 4+aAnd a = 1 unit.b = 5 units.Orb = y+2ab = 3+2aAnd a = 1 unit.b = 3+2(1)b = 5 units.Orb² = 4²+3²b = √(25)b = 5 units.c = x-yc = 4-3c =...
Calculating x²/y².Let the inscribed blue square side length be 2 units.Therefore;y = 2 units.y² = 4 square units, the area of the blue inscribed square.Calculating x², the area of the yellow inscribe...
Calculating x/y.Let 10 units be the side length of the ascribed square.x+y = 10 y = (10-x) --- (1).Let a be each of the 2 equal angles.tana = x/(10-x) --- (2).tan(2a) = 10/(10-x)2tana/(1-tan²a) = 10...
Calculating Length x.AB = √(256+144)AB = √(400)AB = 20 units, the side length of square ABCD.tana = 16/12a = atan(4/3)°b = 90-ab = atan(3/4)°tan(b) = c/20¾ = c/20c = 15 units.c is length DF.d² = 20²+...
Calculating Area Blue.Inspection of the composite plane shape ascribing by a square result to the derivation of 4 equal segments white inscribed areas with base length 10 units each.c² = 2(5)²c = 5√(...
Calculating Area Blue.Let r be the radius of the two congruent inscribed circles' radius.a = (6-r) units.tanb = 8/6b = atan(4/3)°c = ½(b)c = ½atan(4/3)°Calculating r.tan(½atan(4/3)) = r/(6-r)½ = r/(6...
Calculating Area Green Circle.a = ½(2)a = 1 unit.cosb = 1/3b = atan(⅓)°b = 70.5287793655°c = 180-bc = 180-70.5287793655c = 109.471220634°d = ½(c)d = ½(109.471220634)d = 54.7356103172°Calculating r, r...
Sir Mike Ambrose is the author of the question.Area R ÷ Area S to 2 decimal places.Let the base of the inscribed rectangle be 2 units.tan60 = a/(½(2))√(3) = aa = √(3) units.a is the height of the ins...
Sir Mike Ambrose is the author of the question.Calculating Area Triangle WArea W to 3 decimal places is;Area triangle with length 5 units and base 7.5sin86.4166783015 units - Area triangle of with le...
Calculating Area Blue.a² = 2(12)²a = 12√(2) units.a is the diagonal of the square.b = ½(a)b = 6√(2) units.tanc = 4/12c = atan(⅓)°d = 45-cd = (45-atan(⅓))°d = 26.5650511771°e² = 12²+4²e = √(12²+4²)e =...
