Sir Mike Ambrose is the author of the question.Let the side length of the square be 2 units.Therefore area ABD (equilateral triangle) is;Area triangle with height 2 unit and base (2sin60) units.= ½*2...
Sir Mike Ambrose is the author of the question.Let the single side length of the square be 2 units.Therefore;Area Square is;2²= 4 square units.Area Green is;Area triangle with height √(3) units and b...
Calculating r, radius of the circle.a = 5+6a = 11 units.b = ½(a) b = 5.5 units.c = 180-60c = 120°It implies;d² = 3²+6²-2*3*6cos60d² = 45-18d = √(27)d = 3√(3) units.((3√(3))/sin60) = (6/sine)e = 90°f²...
Calculating d, the diameter of the circle.Let r be the radius of the circle.a*4 = 2*22a = 11 units.b = 22+2b = 24 units.c = ½(b)c = 12 units.d = ½(11+4)-4d = 7.5-4d = 3.5 units.Radius r of the circle...
Calculating x.Let AD = y.x² = y²+32²-2*32*ycosax² = y²+1024-64ycosa --- (1).x² = y²+17²-2*17*ycosax² = y²+289+34ycosa --- (2).Calculating y.Equating (1) and (2).y²+1024-64ycosa = y²+289+34ycosa1024-6...
Calculating Yellow Area.Let AB = BC = aLet BD = bIt implies;a² = b²+7²+2*7*bcosxa² = b²+49+14bcosx --- (1).a² = b²+25²-2*25*bcosxa² = b²+625-50bcosx --- (2).cosx = b/25 --- (3).Equating (1) and (2).b...
Sir Mike Ambrose is the author of the question.Area S, exactly in square units is;Area triangle with height 2 units and base (2sin120) units + Area triangle with height 2 units and base 2√(2) units -...
Calculating b/a.Let x be the side length of the square.Therefore;a+b = x c² = 15²+8²c² = 225+64c = √(289)c = 17 units.d²+x² = 17²d = √(289-x²) units.e = x-de = (x-√(289-x²)) units.b²+x² = 15²b = √(22...
Sir Mike Ambrose is the author of the question.Calculating Area Orange.yB = 6Area OABC = 161/5 square units.Let xB be a.Calculating g, gradient of length AB.(y2-y1)/(x2-x1) = gg = (6-4)/(a-0)g = 2/aT...
Calculating x, length AD.Let AB = AC = a.cosb = x/32 --- (1).a² = 32²+x²-2*32*xcosba² = 1024+x²-64xcosb --- (2).a² = 23²+x²+2*23*xcosba² = 529+x²+46xcosb --- (3).Equating (2) and (3).1024+x²-64xcosb...
