anonymous
  • anonymous
Circle a and circle b are congruent cd is a chord of both circles. id cd= 16 cm and the radius is 17 cm how long is ab
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
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AaronAndyson
  • AaronAndyson
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AaronAndyson
  • AaronAndyson
@TangerineSkyys

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campbell_st
  • campbell_st
the line from the centre to the chord is a perpendicular bisector of the chord... so half cd is 8 use pythagoras' theorem to find the length from A to the chord \[AC^2 = 17^2 - 8^2\] then double the answer since the circles are congruent hope it helps
campbell_st
  • campbell_st
oops... let E be the intersection of cd and AB I ment to say \[AE^2 = 17^2 - 8^2\] then double the answer
mathstudent55
  • mathstudent55
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Directrix
  • Directrix
17^2 = 8^2 + x^2 289 = 64 + x^2 Subtract 64 from both sides Find square root of result. Double the value of x to get the length of AB. @TangerineSkyys
anonymous
  • anonymous
so would the answer be 30?
anonymous
  • anonymous
@Directrix
Directrix
  • Directrix
>so would the answer be 30? Correct.
anonymous
  • anonymous
Thank you so much!

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