SOLUTION: the diameter of a circle is 100 cm, and a chord of the circle is 80 cm long. What is the distance between the chord and the center of the circle?

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Question 969666: the diameter of a circle is 100 cm, and a chord of the circle is 80 cm long. What is the distance between the chord and the center of the circle?
Answer by lwsshak3(11628) About Me  (Show Source):
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the diameter of a circle is 100 cm, and a chord of the circle is 80 cm long. What is the distance between the chord and the center of the circle?
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let x=distance between the chord and the center of the circle
If you draw a diagram for this problem, you will see a right triangle with x as one of the legs, half of the chord as the other leg and the radius becomes the hypotenuse.
By the pathagorean theorem:
x=√(50^2-40^2)=√2500-1600=√900=30
distance between the chord and the center of the circle=30 cm