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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

5. Tangents

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Exercise 25 Page 755

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

8; 52 cm

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.

We can use the fact that MB is equal to NB to write an equation in terms of x and find its value. 8 cm=x cm ⇔ x=8 Finally, we can find the perimeter of the circumscribed polygon by adding all the side lengths. P&= 6+ 6+ 5+ 5+8+8+7+7 P&=52 cm

Subchapter links

Exercises p.753-757