RT and circles

Solve right triangle if the radius of inscribed circle is r=9 and radius of circumscribed circle is R=23.

Correct answer:

a =  37.83
b =  26.17
c =  46

Step-by-step explanation:

R=2c c=2R=46  r=2a+bc a+b=64 a2+b2=2116  2a2128a+1980=0  p=2;q=128;r=1980 D=q24pr=1282421980=544 D>0  a1,2=2pq±D=4128±544=4128±434 a1,2=32±5.8309518948453 a1=37.830951894845 a2=26.169048105155   Factored form of the equation:  2(a37.830951894845)(a26.169048105155)=0 
b=((128)(23.323807579381))/(2 (2))=26.17
c=2 23=46

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