document.write( "Question 595054: A chord is 5cm from the vented of a circle with a radius of 13 cm. What is the length of the chord \n" ); document.write( "
Algebra.Com's Answer #377005 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! Assume it is: \n" ); document.write( "A chord is 5cm from the center of a circle with a radius of 13 cm. \n" ); document.write( " What is the length of the chord \n" ); document.write( ": \n" ); document.write( "If you draw this out, you can see that two right triangles are formed with one side being half the chord, the other 5 cm, the radius is the hypotenuse \n" ); document.write( "a^2 + b^2 = c^2, where: \n" ); document.write( "a = 5 cm \n" ); document.write( "b = half the chord \n" ); document.write( "c = 13 \n" ); document.write( ": \n" ); document.write( "5^2 + b^2 = 13^2 \n" ); document.write( "b^2 = 169 - 25 \n" ); document.write( "b^2 = 144 \n" ); document.write( "b = \n" ); document.write( "b = 12 cm is half the chord \n" ); document.write( "therefore \n" ); document.write( "Chord = 24 cm \n" ); document.write( " |