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6. 
   (6+10)²+(6+x)²=(10+x)²
   

256+36+12x+x²=100+20x+x²

8x=192

x=24

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FC=x BF=5-x

FG=z AB=7

CG=y AG=6-y

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18. 
    AB = AC = BC = a EG = GF = x=?
    

r = GH = 2,5√5

AH = 5√5 + 2,5√5 = 7,5√5

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20. 
    AB = 9 BC = 12 S_OKCN = ?
    

r = 3, OC = 3√10

21. AD=AE=10 BD=BF=3 CE=CF=r r=?

a = r + 3 b = r + 10 c = 13

(r + 3)² + (r + 10)² = 13²

r² + 6r + 9 + r² + 20r + 100 = 169

2r² + 26r – 60 = 0

r² + 13r – 30 = 0

r₁ = 2 r₂ = -15

r = 2