document.write( "Question 940992: Two intersecting circles of radii 10 cm and 17 cm respectively have a common chord of length 16 cm. Find the distance between the centers of the circles. \n" ); document.write( "

Algebra.Com's Answer #573664 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
Two intersecting circles of radii 10 cm and 17 cm respectively have a common chord of length 16 cm.
\n" ); document.write( " Find the distance between the centers of the circles.
\n" ); document.write( ":
\n" ); document.write( "Draw this out, you can see two different right triangles are formed by:
\n" ); document.write( " half the chord, (8)
\n" ); document.write( " the radius to the end of the chord (10 & 17) (the hypotenuse)
\n" ); document.write( " the distance from the centers to the chord.
\n" ); document.write( ":
\n" ); document.write( "d = $\"sqrt%2817%5E2+-+8%5E2%29\"$ + $\"sqrt%2810%5E2+-+8%5E2%29\"$
\n" ); document.write( "d = 21 cm between the two centers \n" ); document.write( "

\n" );