Calculating length PD, let it be x.Notice.At the inscribed triangle.AB should be 4 cm.While AC should be 6 cm.Resolving with the above corrections.5² = 6²+4²-2*6*4cosa48cosa = 52-25a = acos(27/48)a =...
Calculating angle QRS.Let it be x.a = 45-32a = 23°a is ang SPQ.b = 90-ab = 90-23b = 67°b is angle PQS.c = b-45c = 67-45c = 22°c is angle RQS.d = 180-45d = 135°d is angle QSR.It implies, thec- require...
Calculating x/y.Let the side length of the congruent squares be 1 unit each.x² = 1²+1²x² = 2x = √(2) units.a = 1+1+1a = 3 units.b² = 1²+a²b² = 1²+3²b = √(10) units.b is the radius of the circle.Andb...
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...
