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Circles in Resizable Triangle

Angle AGM = 45°

Line Segment GM = X = 12

Proof: Radius R = 40

Radius R = 40 ( NEW )

Angle BCD = X = 30°

Red Area = 54

Shaded Fraction = 3 / 64

Calculation of X = | AE |

Total = 24 ⇒ Orange = 7

Shaded = 41.5938984451