Given a line tangent to a circle find the value of x

The video tutorial explains how to solve a problem involving a tangent line and the Pythagorean theorem. It begins by introducing the concept of a tangent line and its properties, such as creating a perpendicular line. The instructor then applies the Pythagorean theorem to find the value of x, using algebraic techniques like FOIL and solving equations. The tutorial concludes with the final calculation to determine the value of x.

What property does a tangent line have with respect to the radius at the point of tangency?

• It is equal in length to the radius.

• It bisects the radius.

• It is perpendicular to the radius.

• It is parallel to the radius.

Which theorem is used to find the value of x in the given problem?

• Quadratic Theorem

• Theorem of Similar Triangles

• Pythagorean Theorem

• Binomial Theorem

What is the expression for the hypotenuse in the equation x^2 + 12^2 = (x + 8)^2?

• x

• 12

• x + 8

• x + 12

What is the result of expanding (x + 8)^2 using the FOIL method?

• x^2 + 16x + 64

• x^2 + 8x + 64

• x^2 + 8x + 16

• x^2 + 16x + 16

What is the final value of x after solving the equation x^2 + 144 = 16x + 64?

• x = 4

• x = 5

• x = 6

• x = 7