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...
Calculating Area Red.Let x be the radius of the smallest inscribed white half circle.a = 2x units.a is the radius of the smaller inscribed white circle and also the radius of the red and smallest whi...
Calculating angle HCP.Let it be x.Let 1 unit be the radius of the inscribed circle.It implies;2 units is the diameter of the diameter of the inscribed circle and also the side length of the ascribed...
Calculating the required length, let it be x.a² = 3²+3²a² = 9+9a = √(18)a = 3√(2) units.b = (1+x) units.c = 3+1+xc = (4+x) units.It implies;3√(2) ~ 3(4+x) ~ (1+x)Cross Multiply.√(2)(1+x) = 4+x√(2)+√(...
Calculating the required angle.Notice.The triangle is equilateral.Let the required angle be x.Let 1 unit be the side length of the square.a = (1+y) units.b = 1+1b = 2 units.Calculating y.tan60 = a/1√...
Calculating yellow area.Notice. 12 square units is the area of the red quarter circle.¼*πa² = 12πa² = 48a = √(48/π)a = 3.90882009522 units.a is the radius of the red quarter circle.b² = 2a²b = √(2*3....
Calculating length x.sina = 6/10a = asin(3/5)°b = 90-ab = (90-asin(3/5))°c²+6² = 10²c = √(100-36)c = 8 units.d =20-8d = 12 units.e = 20-6-6e = 8 units.It implies, length x is;x² = d²+e²x² = 12²+8²x²...
Calculating length MN.let x be the radius of the circle.a = ½(15)a = 7.5 units.b = 24-ab = 24-7.5b = 16.5 units.c²+b² = 24²c = √(24²-16.5²)c = 17.4284250579 units.d²+a² = x²d = √(x²-7.5²) units.e = x...
