<u>JK is </u><u>NOT </u><u>tangent to the circle</u>
Step-by-step explanation:
A tangent of a circle is a line that intersects a circle at one and only one point. For this reason, the radius will always intersect a tangent at a 90 degree angle to prove this single point intersection. From the triangle, we can introduce the Pythagorean theorem to see if the triangle is a right triangle:
a^2 + b^2 = c^2
48^2 + 14^2 = 36^2
2304 + 196 = 1296
2500 ≠ 1296
As this is not equal, the triangle is not a right triangle and therefore states that the tangent line does not intersect the radius at 90 degrees, meaning that it does not satisfy the requirements of a tangent line.
