Find the length of sides of triangle OTP if O is the centre of the circle PT is the length of the tangent at the point of P and OP=(x+2) OT=(x-6),PT=(x+1)

Those sides can be OT = 3 units , PT = 4 units and OP = 5 units OR    OT = 5 units , PT = 12 units and OP = 13 units . As in triangle OTP , angle OTP will be 90 degree which means that we can apply pythagoras theorem which will result in a quadratic equation that gives two values of x . Thus helping us to get two different values of each side of which both are correct and applicable .