y=0..................(i)12x−5y=0............(ii)3x+4y−7=0.............(iii)
Solving (ii) and (iii) we get A(59,43)
Solving (iii) and (i) we get B(73,0)
solving (i) and (ii) we get C(0,0)
BC=a=√(73−0)2+(0−0)2=73CA=b=√(59−0)2+(43−0)2=139AB=c=√(59−73)2+(43−0)2=209
Coordinates of centre are
⎡⎢ ⎢ ⎢⎣⎧⎪ ⎪ ⎪⎨⎪ ⎪ ⎪⎩73×59+139×73+209×073+139+209⎫⎪ ⎪ ⎪⎬⎪ ⎪ ⎪⎭,⎧⎪ ⎪ ⎪⎨⎪ ⎪ ⎪⎩73×43+139×0+209×073+139+209⎫⎪ ⎪ ⎪⎬⎪ ⎪ ⎪⎭⎤⎥ ⎥ ⎥⎦(79,1427)
Radius is equal to distance from y=0
r=1427