Calculating ratio AM/BC.Let alpha be x.Let BC be 2 units.It implies;BM = CM = 1 unit.tan(2x) = a/1a = tan(2x)a = (2tanx)/(1-tan²x) --- (1).a is AB.tanx = 2/a --- (2).Therefore, equating (2) in (1).a...
Calculating length x.½*5*a = S5a = 2Sa = ⅕(2S) units.a is CE.x ~ 5b ~ aTherefore;x ~ 5b ~ ⅕(2S)Cross Multiply.⅕(2S)x = 5b2Sx = 25bb = (2Sx)/25 units.b is BC.Calculating x, length AB.½*x*b = 3S+S½*x*(...
Calculating length x.a = 2+3 = 1+4a = 5 units.a is the radius of the ascribed quarter circle.b = a+3b = 5+3b = 8 units.It implies;c*c = 2*bc² = 2*8c = √(16)c = 4 units.d = c-1d = 4-1d = 3 units.There...
Calculating x/y.tana = 4/3a = atan(4/3)°b = 180-ab = (180-atan(4/3))°b = 126.869897646°c² = 3²+1²-2*3*1cos126.869897646c = 3.68781778292 units.(1/sind) = (3.68781778292/sin(126.869897646))d = 12.5288...
Calculating the required angle.Let it be x.Let the square side length be 2 units.a = ½(2)a = 1 unit.tanb = 2/1b = atan(2)°c = 180-bc = (180-atan(2))°(2/sin(180-atan(2))) = (1/sind)d = 26.5650511771°e...
Calculating Area ADPB.Notice.BD = 3 units.CD = 1 unit.a = ½(3)a = 1.5 units.a is AC.b = a+1b = 1.5+1b = 2.5 units.b is OB, the radius of the circle.cosc = a/bc = acos(1.5/2.5)c = 53.1301023542°c is a...
Kindly move the question right/left one time to view the analysis.Thank you.Calculating x, angle CHF.a = ½(45)a = 22.5°a is angle OAC.b = 180-2ab = 180-45b = 135°b is angle AOC.c = 180-bc = 45°c is a...
Calculating Area Yellow÷Area Red.Notice.Inscribed blue square area is 8 m².a = √(8)a = 2√(2) m.a = 2.82842712475 m.a is the side length of the inscribed blue square.Let r be the radius of the inscrib...
Calculating area ADBC.Let let x be the side length of the small square.a = (2-x) cm.b² = x²+x²b = √(2x²)b = √(2)x cm.b is BD, the diagonal of the small square.c² = x²+a²c² = x²+(2-x)²c² = x²+4-4x+x²c...
Calculating Blue Area.It is;Area quarter circle with radius 4 cm - Area triangle with height and base 4 cm respectively.¼*4²π - ½*4²= ¼(16π)-½(16)= 4π-8= 4(π-2) square units.
