document.write( "Question 71137: Heyy i really need some help on this question.. give me a hand pleasee.\r
\n" ); document.write( "\n" ); document.write( "In a circle with radius 7cm, a chord is 3cm from the center. How long is another chord located 3 cm from the center?\r
\n" ); document.write( "\n" ); document.write( "Those are the choice of answers, could you please give me the steps of how to do it please!\r
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\n" ); document.write( "\n" ); document.write( "A) 2 (root)10
\n" ); document.write( "B)7
\n" ); document.write( "C)4 (root)10
\n" ); document.write( "D)14\r
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Algebra.Com's Answer #50887 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Well, if I could draw the diagram it would be a whole easier, but I'll try to explain it in words so that you can draw the diagram:
\n" ); document.write( "1. Draw the circle a radius of 7 cm.
\n" ); document.write( "2. Mark a point 3 cm from the centre of the circle and draw a chord through it.
\n" ); document.write( "3. Connect the end-points of the chords with the centre of the circle.
\n" ); document.write( "You should now have an isosceles triangle inside the circle. The two equal sides of the triangle are just the radii of the circle so they are 7 cm. each and the base is just the diameter of the circle and that is 14 cm.
\n" ); document.write( "4. Draw a line from the centre of the circle perpendicular to the chord.
\n" ); document.write( "You should now see two congruent right triangles.
\n" ); document.write( "Focus on one of these. The height is 3 cm. and the hypotenuse is 7 cm. and the base is half the length of the chord.
\n" ); document.write( "Using the Pythagorean theorem, you can find the third side (call this x) of one of the right triangles.
\n" ); document.write( "x is one half the length of the chord so you will multiply this by 2 to get the entire length of the chord.
\n" ); document.write( "\"7%5E2+=+3%5E2+%2B+x%5E2\" Simplify and solve for x.
\n" ); document.write( "\"49+=+9%2Bx%5E2\" Subtract 9 from both sides.
\n" ); document.write( "\"40+=+x%5E2\" Take the square root of both sides.
\n" ); document.write( "\"x+=+sqrt%2840%29\" This is half the length of the chord.
\n" ); document.write( "\"2x+=+2sqrt%2840%29\" This is the length of the chord. Simplifying this, you gey:
\n" ); document.write( "\"2x+=+2sqrt%284%2A10%29\" Take the sqrt of 4 outside the radical as 2.
\n" ); document.write( "\"2x+=+4sqrt%2810%29\"
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