Question

Find the segment length indicated. Assume that lines which appear tobe tangent are tangent.?1220

Answer 1

Answer:

16

Explanation:

The segment with a length equal to 12 is tangent to the circle, It means that it forms an angle of 90 degrees with the line of the missing length.

So, the formed triangle is a right triangle and we can apply the Pythagorean theorem to solve the question.

Then, since 20 is the hypotenuse of the triangle, we get that the missing side can be calculated as:

$\text{? = }\sqrt[]{20^2-12^2}$

So, solving the expression, we get:

$\begin{gathered} \text{? = }\sqrt[]{400-144} \\ \text{? = }\sqrt[]{256} \\ \text{? = 16} \end{gathered}$

Therefore, the segment length is 16.