Find the value of x given a tangent line to a circle

The video tutorial explains the concept of a tangent line and its properties, including its perpendicular relationship with the radii. It demonstrates how to use the Pythagorean theorem to calculate the value of x in a right triangle formed by the tangent. The tutorial further simplifies the expression for x, showing how to break down the calculation into simpler components and find the exact value using square roots.

What is the relationship between a tangent line and the radius of a circle?

How can you determine the length of x in a right triangle formed by a tangent line and a radius?

Explain how the Pythagorean theorem is applied in this context.

What is the simplified form of the square root of 250?

Why is it important to simplify answers rather than leaving them in approximate form?