document.write( "Question 538105: the perimeter of a square is 40ft. find the length of a diagonal of the square to the nearest tenth
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Algebra.Com's Answer #353125 by fcabanski(1391)\"\" \"About 
You can put this solution on YOUR website!
For a square P=4s. That means each side s=p/4 = 40/4=10.


\n" ); document.write( "The diagonal of a square makes a right triangle with two sides. The diameter is the hypotenuse (h) of that right triangle.


\n" ); document.write( "Pythagorean Theory \"h%5E2=s%5E2%2Bs%5E2=2s%5E2\" so \"h+=+sqrt%282s%5E2%29\".
\n" ); document.write( "Plug s=10 into that formula.


\n" ); document.write( "\"h=sqrt%282%2810%5E2%29%29+=+sqrt%282%2A100%29+=10%2Asqrt%282%29=+14.1\" ft.\r
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