Respuesta :

Answer:

radius = 5

Step-by-step explanation:

Since the line is a tangent, that means the PT and OP are perpendicular (they make a right angle) Sooo, the triangle is a right triangle. Use Pythagorean Theorem to calculate or Pythagorean Triples for a shortcut (5, 12, 13)

r^2 + 12^2 = 13^2

r^2 + 144 = 169

Subtract 144

r^2 = 25

Squareroot both sides.

sqrt(r^2) = sqrt25

r = 5

The radius is 5.