document.write( "Question 469408: Find the value of y.
\n" ); document.write( "A 30, 60, 90 degree right triangle is drawn. The 60 degree angle is labeled. The shortest leg adjacent to the 60 degree angle is labeled x. The longest leg opposite the 60 degree angle is labeled 5 times the square root of 3. The hypotenuse is labeled y.
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Algebra.Com's Answer #322066 by ccs2011(207)\"\" \"About 
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For the special 30-60-90 right triangle, the corresponding sides are:
\n" ); document.write( "a, \"sqrt%283%29\"a, 2a
\n" ); document.write( "So the hypotenuse is always twice the length of the short leg, and the long leg is \"sqrt%283%29\" times the short leg.
\n" ); document.write( "For this problem the short leg is x.
\n" ); document.write( "Therefore hypotenuse y is 2x, y = 2x
\n" ); document.write( "Therefore long leg is \"sqrt%283%29x\"
\n" ); document.write( "\"5sqrt%283%29+=+sqrt%283%29x\"
\n" ); document.write( "Divide by \"sqrt%283%29\" on both sides
\n" ); document.write( "\"5+=+x\"
\n" ); document.write( "Therefore, y = 2*5 = 10
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