document.write( "Question 1121779: solve the right triangle given that m < A=30degrees, m < C=90degrees, and a=15. round your result to one decimal place \n" ); document.write( "
Algebra.Com's Answer #737767 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( "the right triangle given that:\r
\n" ); document.write( "\n" ); document.write( "\"+m\" < \"A=30\" degrees, \r
\n" ); document.write( "\n" ); document.write( "\"m\" < \"C=90\" degrees, and \r
\n" ); document.write( "\n" ); document.write( "\"a=15\"\r
\n" ); document.write( "\n" ); document.write( "since the sum of all angles in triangle is \"180\", we have\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"m\" < \"B=+180-%2890%2B30%29\"\r
\n" ); document.write( "\n" ); document.write( "\"m\" < \"B=+180-120\"\r
\n" ); document.write( "\n" ); document.write( "\"m\" < \"B=+60%29\" degrees\r
\n" ); document.write( "\n" ); document.write( "since \"m\" < \"A=30\" degrees side and \"a=15\" ,use sin theorem to calculate hypotenuse \"c\" \r
\n" ); document.write( "\n" ); document.write( "\"sin%2830%29=a%2Fc\"\r
\n" ); document.write( "\n" ); document.write( "\"1%2F2=15%2Fc\"\r
\n" ); document.write( "\n" ); document.write( "\"%281%2F2%29c=15\"\r
\n" ); document.write( "\n" ); document.write( "\"c=30\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "and, now use Pythagorean theorem to fond side \"b\"\r
\n" ); document.write( "\n" ); document.write( "\"b%5E2=c%5E2-a%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"b%5E2=30%5E2-15%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"b%5E2=900-225\"\r
\n" ); document.write( "\n" ); document.write( "\"b%5E2=675\"\r
\n" ); document.write( "\n" ); document.write( "\"b=sqrt%28675%29\"\r
\n" ); document.write( "\n" ); document.write( "\"b=25.98076211353316\"\r
\n" ); document.write( "\n" ); document.write( "or approximately\r
\n" ); document.write( "\n" ); document.write( "\"b=25.9\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );