document.write( "Question 1077715: In triangle ABC, a=15cm, b=21cm, and m∠C=90 degree. Solve the triangle.
\n" ); document.write( "Can someone help me with this?
\n" ); document.write( "Thank you.
\n" ); document.write( "

Algebra.Com's Answer #692200 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( " In triangle \"ABC\", \"a=15cm\", \"b=21cm\", and \"m\" < \"C=90\" degree. \r
\n" ); document.write( "\n" ); document.write( "use Law of Cosines:\r
\n" ); document.write( "\n" ); document.write( "\"a%5E2=b%5E2%2Bc%5E2-2bc%2Acos%28A%29\"
\n" ); document.write( "\"b%5E2=a%5E2%2Bc%5E2-2ac%2Acos%28B%29\"
\n" ); document.write( "\"c%5E2=a%5E2%2Bb%5E2-2ab%2Acos%28C%29\"\r
\n" ); document.write( "\n" ); document.write( "\"c%5E2=15%5E2%2B21%5E2-2%2A15%2A21%2Acos%2890%29\"......\"cos%2890%29=0\"
\n" ); document.write( "\"c%5E2=225%2B441-630%2A0\"
\n" ); document.write( "\"c%5E2=666\"
\n" ); document.write( "\"c=sqrt%28666%29\"
\n" ); document.write( "\"c=25.8cm\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"a%5E2=b%5E2%2Bc%5E2-2bc%2Acos%28A%29\"
\n" ); document.write( "\"a%5E2-b%5E2-c%5E2=-2bc%2Acos%28A%29\"
\n" ); document.write( "\"cos%28A%29=%28b%5E2%2Bc%5E2-a%5E2%29%2F2bc\"
\n" ); document.write( "\"cos%28A%29=%2821%5E2%2B%2825.8%29%5E2-15%5E2%29%2F%282%2A21%2A25.8%29\"
\n" ); document.write( "\"cos%28A%29=%28441%2B665.64-225%29%2F%281083.6%29\"
\n" ); document.write( "\"cos%28A%29=%28881.64%29%2F%281083.6%29\"
\n" ); document.write( "\"cos%28A%29=0.8136212624584718\"\r
\n" ); document.write( "\n" ); document.write( "\"A=cos%5E-1%280.8136212624584718%29\"\r
\n" ); document.write( "\n" ); document.write( "\"A=35.55%B0\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"b%5E2-a%5E2-c%5E2=-2ac%2Acos%28B%29\"\r
\n" ); document.write( "\n" ); document.write( "\"2ac%2Acos%28B%29=a%5E2%2Bc%5E2-b%5E2\"\r
\n" ); document.write( "\n" ); document.write( "\"cos%28B%29=%28a%5E2%2Bc%5E2-b%5E2%29%2F2ac\"\r
\n" ); document.write( "\n" ); document.write( "\"cos%28B%29=%2815%5E2%2B%2825.8%29%5E2-21%5E2%29%2F%282%2A15%2A25.8%29\"\r
\n" ); document.write( "\n" ); document.write( "\"cos%28B%29=%28449.64%29%2F%28774%29\"\r
\n" ); document.write( "\n" ); document.write( "\"cos%28B%29=0.580930232558\"\r
\n" ); document.write( "\n" ); document.write( "\"B=cos%5E-1%280.580930232558%29\"\r
\n" ); document.write( "\n" ); document.write( "\"B=54.48\"°\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );