Pearson Geometry Common Core, 2011
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Pearson Geometry Common Core, 2011 View details
2. Chords and Arcs
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Exercise 45 Page 779

If two tangent segments to a circle share a common endpoint outside the circle, then the two segments are congruent.

x = 5.5

Practice makes perfect
If two tangent segments to a circle share a common endpoint outside the circle, then the two segments are congruent. Using this fact, we can find the unknown lengths in the given diagram.

Finally, we can find the value of x of the circumscribed polygon by adding the side lengths. x = 3.5 + 2 ⇔ x = 5.5