if PD = 7√2 and DC = 5√2 find PA

Question

Answer 1

As per secant  tangent  rule :

(whole secant)(external part) = (tangent)²

(PC)(PD) = (PA)^2

PC = PD +DC

= 7√2 + 5√2

PC= 12√2

(PA)^2 = (12√2)(7√2) = 168

PA = 12.96

The solution is PA = 12.96