Chapter 10.3, Problem 2MRE

To determine

To find: $\overline{AC}$ is ______to the circle and value of $\overline{AC}$ .

Answer to Problem 2MRE

  $\overline{AC}$ is tangent to the circle and $\overline{AC}=10$

Explanation of Solution

Given information: $m\angle ACO=90°,AB=10$

  

A line that intersects the circle at one point is known as a tangent.

AC is a tangent to a circle at C.

Now, tangents drawn from a common point outside the circle to the circle are equal.

AB and AC are tangents drawn from a common point C outside the circle.

So,

  $AC=AB=10$

Final answer:

If $m\angle ACO=90°$ and $AB=10$ , then AC is tangent to the circle at C and $\underset{\_}{AC=10}$