document.write( "Question 332131: If a square has a perimeter of 24 inches, how many inches long is its diagonal? \n" ); document.write( "

Algebra.Com's Answer #238036 by Earlsdon(6294) $\"\"$ $\"About$

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If a square has a 24-inch perimeter, then the length of one side must be $\"24%2F4+=+6\"$ inches.
\n" ); document.write( "Two adjacent sides and the diagonal form a right triangle, so you can find the length of the diagonal using the Pythagorean theorem.
\n" ); document.write( "Let the diagonal = c, then:
\n" ); document.write( " $\"c%5E2+=+a%5E2%2Bb%5E2\"$ where a and b are two of the sides each 6 inches long.
\n" ); document.write( " $\"c%5E2+=+6%5E2%2B6%5E2\"$
\n" ); document.write( " $\"c%5E2+=+72\"$ Take the square root of both sides.
\n" ); document.write( " $\"c+=+sqrt%2872%29\"$
\n" ); document.write( " $\"c+=+8.49\"$ inches, to the nearest hundredth. \n" ); document.write( "

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