McGraw Hill Integrated II, 2012
MH
McGraw Hill Integrated II, 2012 View details
4. Inscribed Angles
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Exercise 55 Page 748

If a chord and a radius are perpendicular, then the radius bisects the chord.

48

Practice makes perfect
In the given diagram, KM is a radius of the circle.

Since the chord FG and the radius KM are perpendicular, we know that the radius bisects the chord. Therefore, FL and LG are congruent.

Since we know by the exercise that FL=24, then FG measures 2 * 24 = 48.