document.write( "Question 151984: how would you solve the following word problem\r
\n" ); document.write( "\n" ); document.write( "The diagonal of a square measures 10 inches. What is the length of the sides. \r
\n" ); document.write( "\n" ); document.write( "I know this problem uses a^2 + b^2 = c^2 and so far I have c^2=10^2 = 100. Whats next?
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Algebra.Com's Answer #111722 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Ok so far: \"c%5E2+=+100\" and c is the diagonal of the square.
\n" ); document.write( "The sides of the square are equal, so when you write: \"c%5E2+=+a%5E2%2Bb%5E2\" the a and b are equal, so you can write:
\n" ); document.write( "\"c%5E2+=+a%5E2%2Ba%5E2\" or
\n" ); document.write( "\"c%5E2+=+2a%5E2\" Substitute \"c%5E2+=+100\"
\n" ); document.write( "\"100+=+2a%5E2\" Divide both sides by 2.
\n" ); document.write( "\"50+=+a%5E2\" Take the square root of both sides.
\n" ); document.write( "\"sqrt%2850%29+=+a\"
\n" ); document.write( "\"a+=+sqrt%2825%2A2%29\"
\n" ); document.write( "\"a+=+sqrt%285%5E2%2A2%29\"
\n" ); document.write( "\"a+=+5%2Asqrt%282%29\"
\n" ); document.write( "The length of the sides of the square are each exactly \"5sqrt%282%29\"inches or approximately 7.1 inches.
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