document.write( "Question 753467: find x rounded to one decimal point. assume a=6\r
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\n" ); document.write( "\n" ); document.write( "Picture of triangle below\r
\n" ); document.write( "\n" ); document.write( "http://www.webassign.net/sprecalc6/6-2-044-alt.gif
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Algebra.Com's Answer #458397 by josgarithmetic(39617)\"\" \"About 
You can put this solution on YOUR website!
The picture shows enough information to indicate the smaller right triangle. a is the longer leg of this small triangle and x is the hypotenuse of this small triangle.\r
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\n" ); document.write( "\n" ); document.write( "Although I do not remember the official theorem, this smaller right triangle is also a 30-60-90 right triangle, similar to the main right triangle.\r
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\n" ); document.write( "\n" ); document.write( "The other leg of this small right triangle is \"x%2F2\" in length.
\n" ); document.write( "\"a%5E2%2B%28x%2F2%29%5E2=x%5E2\" directly according to pythagorean theorem
\n" ); document.write( "\"x%5E2%2F4-x%5E2=-a%5E2\"
\n" ); document.write( "\"x%5E2-x%5E2%2F4=a%5E2\"
\n" ); document.write( "\"%281-1%2F4%29x%5E2=a%5E2\"
\n" ); document.write( "\"x%5E2=%284%2F3%29a%5E2\"
\n" ); document.write( "\"x=2a%2Fsqrt%283%29\"
\n" ); document.write( "\"highlight%28x=%282%2F3%29a%2Asqrt%283%29%29\" and you can substitute a=6 and evaluate x.
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