Calculating yellow shaded area (equilateral triangle).Let x be CE.a = 4-3a = 1 unit.b²+3² = x²b = √(x²-9) units.b is AE.c²+4² = x²c = √(x²-16) units.c is BE.d = b+cd = (√(x²-9)+√(x²-16)) units.d is A...
Calculating yellow area.Let x be each of the three congruent red lengths.Let y be each of the two congruent blue lengths.a = (x+3) units.It implies;√(129)² = (x+3)²+x²+2x(x+3)cosb129 = 2x²+6x+9+(2x²+...
Calculating Area Blue.Let x be the base of the inscribed white right-angled triangle with hypotenuse 10 units.a² = 10²+10²a = √(2(10²))a = 10√(2) units.a is the hypotenuse of the ascribed right-angle...
Calculating Area Red.a = ½(10)a = 5 m.a is the radius of each of the two equal green inscribed circles.It implies, area red is;Area triangle with height 20 m and base 10 m - Area circle with radius 5...
Calculating Area Blue.a = 6+4a = 10 units.a is OQ.b = a+4b = 10+4b = 14 units.tanc = 6/10c = atan(3/5)°c is angle OQP.tand = 6/14d = atan(3/7)°e = 180-ce = 180-atan(3/5)e = (90+atan(5/3))°e = 149.036...
Calculating Red Area.Notice.45 cm is the side length of the square.a = 45-9-18a = 18 cm.tanb = 45/18b = atan(5/2)°c = 180-bc = 180-atan(5/2)c = (90+atan(2/5))°c = 111.801409486°d = ½(90)d = 45°e = 18...
Calculating x and R.x*8 = 12*5x = 60/8x = ½(15)x = 7.5 units.a = 180-120a = 60°b² = 8²+5²-2*8*5cos120b = √(129) units.b = 11.3578166916 units.c² = 12²+8²-2*12*8cos60c = 4√(7) units.c = 10.5830052443...
Calculating (ED)² +(DC)².a² = √(3)²+√(3)²a = √(6) units.a is the radius of the ascribed half circle.tanb = √(3)/ab = atan(√(3)/√(6))b = atan(1/√(2))b = atan(½√(2))°b = 35.2643896828°b is angle OBG.c...
Calculating Area Green ÷ Area Red.Let the two equal lengths be 1 unit each.It implies;Red Area is;½*1*1= ½ square units.a = 1+1a = 2 units.b² = 2²+1²b² = 5b = √(5) units.2 ~ c1 ~ 2Cross Multiply.c =...
Calculating length BP.Let it be x.a²+a² = 4²2a² = 16a² = 8a = √(8)a = 2√(2) cm.a is AB, the side length of the square.b = 45-30b = 15°b is angle CAP.tan30 = c/(2√(2))c = 2√(2)tan30c = 1.63299316186 c...
