SOLUTION: Two parallel chords lies on opposite sides of a center of a circle of radius 13cm.Their length are 10cm and 24cm.What is the distance between the chords.

Algebra ->  Circles -> SOLUTION: Two parallel chords lies on opposite sides of a center of a circle of radius 13cm.Their length are 10cm and 24cm.What is the distance between the chords.      Log On


   

Question 1069094: Two parallel chords lies on opposite sides of a center of a circle of radius 13cm.Their length are 10cm and 24cm.What is the distance between the chords.
Answer by ikleyn(52794) About Me  (Show Source):
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The distance from the center to the 10 cm chord is sqrt%2813%5E2-%2810%2F2%29%5E2%29 = sqrt%2813%5E2-5%5E2%29 = 12 cm.

The distance from the center to the 24 cm chord is sqrt%2813%5E2-%2824%2F2%29%5E2%29 = sqrt%2813%5E2-12%5E2%29 = 5 cm.

The distance between two given parallel chords is 12 + 5 = 17 cm.