Calculating area x.Let 3a be the height of the ascribed triangle.Therefore, considering the 6 square units inscribed triangle area.½*(3a)*b = 63ab = 12b = (4/a) units.b is the base of the 6 square un...
Calculating Alpha.Let it be x.Let 1 unit be the side length of the inscribed square.Let r be the radius of the ascribed quarter circle.a² = 1²+1²a =√(2) units.a is OE, the diameter of the inscribed...
Calculating green area EFB (area triangle).Notice.FO = CD.AO = BF = AE = 4 units.Where;AE and BF are the height and base of green triangle area EFB.It implies;Area EFB is;½*BF*AE= ½*4*4= 8 square uni...
Calculating r, radius of the inscribed circle and area ABCD (isosceles trapezoid).Notice.Triangle AOD is a right-angled triangle tana = 3/2a = atan(3/2)°tanb = 2/3b = atan(2/3)°Calculating r, radius...
Calculating x.a² = 1²+1²a² = 2a = √(2) units.b = ⅛*180(8-2)b = ⅛*180*6b = 135°b is the single interior angle of a regular octagon with side length √(2) units. Half the regular octagon is derived to i...
Calculating r, radius of the ascribed quarter circle.a = 2r units.a is the diameter of the complete circle (2 radius).a = ½(8)a = 4 units.b²+a² = r²b² = r²-4²b = √(r²-16) units.c = b-3c = (√(r²-16)-3...
Calculating area blue.a² = 15²+15²a² = 2(15²)a = √(2(15²))a = 15√(2) cm.cosb = 21/(15√(2))b = acos(21/(15√(2)))b = 8.13010235416°c = 45+bc = 53.13010235416°d² = 21²+15²-2*15*21cos53.13010235416d = 16...
Calculating x, length AD.Let z be alpha.Let CD = y.a = (x+y) units.a is AC.b²+y² = 10²b = √(100-y²) units.b is BC.(x+y)²+√(100-y²) = 12²x²+2xy+y²+100-y² = 144x²+2xy = 442xy = 44-x²y = (44-x²)/(2x) --...
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 the required angle.Let it be x.Let 1 unit be the side length of the three congruent squares.Let y be the side length of the green square.a = 1+1a = 2 units.b = ½(y) units.Calculating y.2²...
