\(a=\sqrt{b^2+c^2-2bc.cosA}=5\sqrt{37}\)
\(p=\frac{a+b+c}{2}=\frac{55+5\sqrt{37}}{2}\) \(\Rightarrow S=\sqrt{p\left(p-a\right)\left(p-b\right)\left(p-c\right)}\approx303,1\)
\(\Rightarrow h_a=\frac{2S}{a}\approx20\)
\(R=\frac{abc}{4S}\approx17,5\)
\(r=\frac{S}{p}\approx7,1\)