document.write( "Question 375801: find the length of the diagonal
\n" ); document.write( "a. a square in terms of its edge
\n" ); document.write( "b. a rectangle in terms of its base b and its altitude h
\n" ); document.write( "c. find the area of an equilateral triangle of side a
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Algebra.Com's Answer #267254 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
Use the Pythagorean theorem,
\n" ); document.write( "a)\"s%5E2%2Bs%5E2=d%5E2\"
\n" ); document.write( "\"highlight%28+d=sqrt%282%29%2As%29\"
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\n" ); document.write( "b)\"b%5E2%2Bh%5E2=d%5E2\"
\n" ); document.write( "\"highlight%28+d=sqrt%28b%5E2%2Bh%5E2%29%29\"
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\n" ); document.write( "c)Use Heron's formula,\"A=sqrt%28s%28s-a%29%28s-b%29%28s-c%29%29\"
\n" ); document.write( "In this case, \"b=c=a\"
\n" ); document.write( "\"s=%281%2F2%29%28a%2Ba%2Ba%29=%283%2F2%29a\"
\n" ); document.write( "\"s-a=%281%2F2%29a\"
\n" ); document.write( "\"A=sqrt%28%283%2F2%29a%281%2F2%29a%281%2F2%29a%281%2F2%29a%29\"
\n" ); document.write( "\"A=sqrt%28%283%2F16%29%29a%5E4%29\"
\n" ); document.write( "\"highlight%28+A=%28sqrt%283%29%2F4%29a%5E2%29\"
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