Top 10.909

Angle BAC = 60

X = 15

Top 10.908

Angle ACB = 73

Mathematical Proof

Solution = 9 / 35 = 0.36

AB / BC = 2

X = DK = 7

Green Area = 64.5354207717

Red Area = 3.14159265359

X = Angle CAD = 20

X = AE = 2

Angle BAC = 60

Top 10.907

X = BAC / 2 = 10

X = BAD = 48

X = AE = 3 / 2 = 1.5

Angle DFG = 75

X = A2 = 8

Angle ADC = 79

Total Area = 27

X = Angle EHI = 45

X = Angle ACD = 30

Circular Segment = 40.4026488706

Top 10.906

Blue Area = 21.5390309173

X = DE = 2.64575131106

Trapezoid AEDT Area = 90

Shaded Area = 3 / 8 = 0.375

X = AL = 3

R = 3.53553390593

R1 = CM = DM = EM = 9

X = BD = 8

X = AL = 10

X = CE = 15 / 7 = 2.14285714286

Top 10.905

Green Area = 56.6260058524

Shaded Area = 3.12435565298

X = AFB = 99 = ACB + AOB

Yellow Square Area = 10

X = 6.89897949. a / b =3.44948974

Shaded Area = 7

Green Area = 13

𝛼 = 10

X = ABD = 10

X = AC = 21.0007060445

Top 10.904

X = CD = 30

Shaded Rectangle Area = 70

Proof that R² = 2a² - b²

X = AC = 2.64575131106

Rectangle Area = 13.8564064606

Triangle ABC Side S = 12

X = DL = 19

Orange / Green = 100 / 81

Area DFH / Area BEG = 19 / 7

Shaded Area = 25 / 3