document.write( "Question 157103: the three angles of a triangle are in a 1:2:3 ratio. What are their measurements? \n" ); document.write( "
Algebra.Com's Answer #115823 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
the three angles of a triangle are in a 1:2:3 ratio. What are their measurements?
\n" ); document.write( "
\r\n" );
document.write( "Let the angles be \"A\", \"B\", and \"C\"\r\n" );
document.write( "\r\n" );
document.write( "\"1\" is to the sum \"1%2B2%2B3\" as \"A\" is to the sum \"A%2BB%2BC\"\r\n" );
document.write( "\r\n" );
document.write( "\"1%2F%281%2B2%2B3%29=A%2F%28A%2BB%2BC%29\"\r\n" );
document.write( "\r\n" );
document.write( "But since \"A%2BB%2BC=180\"°\r\n" );
document.write( "\r\n" );
document.write( "\"1%2F%281%2B2%2B3%29=A%2F180\"\r\n" );
document.write( "\r\n" );
document.write( "\"1%2F6=A%2F180\"\r\n" );
document.write( "\r\n" );
document.write( "Cross-multiply:\r\n" );
document.write( "\r\n" );
document.write( "\"6A=180\"\r\n" );
document.write( "\r\n" );
document.write( "Divide both sides by 6\r\n" );
document.write( "\r\n" );
document.write( "\"A=30\"°\r\n" );
document.write( "\r\n" );
document.write( "--------------\r\n" );
document.write( "\r\n" );
document.write( "\"2\" is to the sum \"1%2B2%2B3\" as \"B\" is to the sum \"A%2BB%2BC\"\r\n" );
document.write( "\r\n" );
document.write( "\"2%2F%281%2B2%2B3%29=B%2F%28A%2BB%2BC%29\"\r\n" );
document.write( "\r\n" );
document.write( "But since \"A%2BB%2BC=180\"°\r\n" );
document.write( "\r\n" );
document.write( "\"2%2F%281%2B2%2B3%29=B%2F180\"\r\n" );
document.write( "\r\n" );
document.write( "\"2%2F6=B%2F180\"\r\n" );
document.write( "\r\n" );
document.write( "Cross-multiply:\r\n" );
document.write( "\r\n" );
document.write( "\"6B=360\"\r\n" );
document.write( "\r\n" );
document.write( "Divide both sides by 6\r\n" );
document.write( "\r\n" );
document.write( "\"B=60\"°\r\n" );
document.write( "\r\n" );
document.write( "-----------\r\n" );
document.write( "\r\n" );
document.write( "To find the third angle you could just add those\r\n" );
document.write( "two and subtract from 180°, but as a check you\r\n" );
document.write( "could do it like the others:\r\n" );
document.write( "\r\n" );
document.write( "\"3\" is to the sum \"1%2B2%2B3\" as \"C\" is to the sum \"A%2BB%2BC\"\r\n" );
document.write( "\r\n" );
document.write( "\"3%2F%281%2B2%2B3%29=C%2F%28A%2BB%2BC%29\"\r\n" );
document.write( "\r\n" );
document.write( "But since \"A%2BB%2BC=180\"°\r\n" );
document.write( "\r\n" );
document.write( "\"3%2F%281%2B2%2B3%29=C%2F180\"\r\n" );
document.write( "\r\n" );
document.write( "\"3%2F6=C%2F180\"\r\n" );
document.write( "\r\n" );
document.write( "Cross-multiply:\r\n" );
document.write( "\r\n" );
document.write( "\"6C=540\"\r\n" );
document.write( "\r\n" );
document.write( "Divide both sides by 6\r\n" );
document.write( "\r\n" );
document.write( "\"C=90\"°\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );