document.write( "Question 241682: Show a complete solution to each problem.
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document.write( "Find the exact length of the side of a square whose diagonal is 3 feet.
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document.write( "Draw a square. Draw a diagonal. Let each side length be x.
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document.write( " I don't understand what they are asking and am not sure how to solve this problem. Can someone help explain. Thanks. \n" );
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Algebra.Com's Answer #177001 by unlockmath(1688)![]() ![]() You can put this solution on YOUR website! Hello, \n" ); document.write( "Let's see if I can help you. Basically, we want to find the distance of the sides. Since it's a square both sides are the same. We can use the pythagornean formula to solve this. It's stated this way a^2+b^2=c^2 \n" ); document.write( "c is the diagonal and a,b are the legs of a triangle. We'll replace a,b with x since both sides are same length. \n" ); document.write( "x^2+x^2=3^2 Combine like terms gives us: \n" ); document.write( "2x^2=9 Divide both sides by 2 \n" ); document.write( "x^2=9/2 Now square root both side so we have x all alone. \n" ); document.write( "x=sq rt of 9/2 This give us \n" ); document.write( "x=3/sq rt of 2 \n" ); document.write( "Sq rt of 2 is approx =1.41 then we can do 3 divided by 1.41 = 2.13 (rounded off) \n" ); document.write( "There we go the sides of the sq are 2.13 feet. \n" ); document.write( "RJ Toftness \n" ); document.write( "www.math-unlock.com \n" ); document.write( " |