document.write( "Question 880399: The hypotenuse of a right triangle is 42 cm and its shortest leg is 21 cm. Determine the measure of the other leg and its acute angles .. \n" ); document.write( "

Algebra.Com's Answer #531413 by KMST(5328) $\"\"$ $\"About$

You can put this solution on YOUR website!

$\"sin%28A%29=21%2F42=1%2F2\"$ ---> $\"highlight%28A=30%5Eo%29\"$ ---> $\"B=90%5Eo-30%5Eo\"$ ---> $\"highlight%28B=60%5Eo%29\"$
\n" ); document.write( " $\"system%28A=30%5Eo%2Ccos%28A%29=b%2F42%2Ccos%2830%5Eo%29=sqrt%283%29%2F2%29\"$ ---> $\"b%2F42=sqrt%283%29%2F2\"$ ---> $\"b=42sqrt%283%29%2F2\"$ ---> $\"highlight%28b=21sqrt%283%29%29\"$ or $\"b%5E2%2B21%5E2=42%5E2\"$ --> $\"b%5E2%2B441=1764\"$ --> $\"b%5E2=1764-441\"$ --> $\"b%5E2=1323\"$ --> $\"b%5E2=441%2A3\"$ --> $\"b=sqrt%28441%2A3%29=sqrt%28441%29%2Asqrt%283%29=highlight%2821sqrt%283%29%29\"$
\n" ); document.write( "The approximate value is $\"highlight%28b=36.373%29\"$
\n" ); document.write( "So, the acute angles measure $\"highlight%2830%5Eo%29\"$ and $\"highlight%2860%5Eo%29\"$ and the longest leg measures approximately $\"highlight%2836.373cm%29\"$ . \n" ); document.write( "

\n" );