document.write( "Question 1080068: Find the remaining sides of a 30°-60°-90° triangle if the longest side is 11. (Enter your answers as a comma-separated list.) \n" ); document.write( "

Algebra.Com's Answer #694310 by MathLover1(20849) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "The triangle is significant because the sides exist in an easy-to-remember ratio: \r
\n" ); document.write( "\n" ); document.write( " $\"1\"$ : $\"sqrt%283%29\"$ : $\"2\"$ \r
\n" ); document.write( "\n" ); document.write( "That is to say, the $\"hypotenuse\"$ is twice as long as the $\"shorter%7B%7B%7B+leg\"$ , \r
\n" ); document.write( "\n" ); document.write( "and the $\"+longer+\"$ leg is the $\"sqrt%283%29\"$ times the shorter leg. \r
\n" ); document.write( "\n" ); document.write( "so, if the longest side is $\"11\"$ , means the $\"hypotenuse\"$ $\"c\"$ is $\"11\"$ \r
\n" ); document.write( "\n" ); document.write( "if the $\"hypotenuse\"$ is $\"twice\"$ as long as the $\"shorter\"$ $\"+leg\"$ $\"b\"$ , than $\"b=11%2F2=5.5\"$ \r
\n" ); document.write( "\n" ); document.write( "and the $\"+longer+\"$ leg $\"a\"$ is the $\"sqrt%283%29\"$ times the shorter leg : $\"sqrt%283%29%2A5.5=9.526279441628825=9.5\"$ \r
\n" ); document.write( "\n" ); document.write( "solution:\r
\n" ); document.write( "\n" ); document.write( " $\"5.5\"$ , $\"9.5\"$ , $\"11\"$ \r
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