SOLUTION: Suppose a radius of a circle is 17 units long and a chord is 30 units long! Draw the circle! Find distance from center of the circle to the chord

Question 964121: Suppose a radius of a circle is 17 units long and a chord is 30 units long! Draw the circle! Find distance from center of the circle to the chord
Answer by LinnW(1048) (Show Source): You can put this solution on YOUR website!
Let A represent the center of the circle. Let the point B be a point at the intersection of the one end of the chord and the edge of the circle. Finally, let C represent a point between the center of the circle and the midpoint of the cord. The triangle ABC is a right triangle with a 90 degree angle at ACB. Since the cord length is 30, the bisected segment BC is length 15 .
(length AB)^2 = (length BC)^2 + (length AC)^2
17^2 = 15^2 + (length AC)^2
289 = 225 + (length AC)^2
add -225 to each side
64 = (length AC)^2
take square root of each side
8 = length AC
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