SOLUTION: In a circle whose radius is 13, a chord has a length of 24. Find the distance of this chord from the center of the circle.

SOLUTION: In a circle whose radius is 13, a chord has a length of 24. Find the distance of this chord from the center of the circle.

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Question 75473: In a circle whose radius is 13, a chord has a length of 24. Find the distance of this chord from the center of the circle.
Answer by checkley75(3666) (Show Source): You can put this solution on YOUR website!
1/2 OF THE CORD (12)AND THE RADIUS (13) FORM 2 SIDES OF A RIGHT TRIANGLE. THE THIRD SIDE IS THE DISTANCE FROM THE CENTER. THUS:
12^2+X^2=13^2
144+X^2=169
X^2=169-144
X^2=25
X=5 DISTANCE FROM THE CENTER.

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