Question

Given that OT =5, XT=12, and OX= 13 is XY tangent to circle O at T? Explain.

Answer 1

As, 5, 12 and 13 form a pythagorean triplet.
Which means OTX is a right angles trangle right angles at T.

Which means angle OTX = 90° .

Which means

Yes XY is a tangent.

Because A tangent makes 90° angle with the radius at that point of contact.