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c=10cm
r=2cm
r=½(a+b-c)
½(a+b-10)=2
a+b-10=4
a+b=4+10
a+b=14
a=14-b
a²+b²=c²
(14-b)²+b²=10²
196-28b+b²+b²=100
2b²-28b+96=0
Δ=b²-4ac=784-768=16
√Δ=4
b₁=(-b-√Δ):2a=(28-4):4=6
b²=(28+4):4=8
pole=½×6×8=24cm²