document.write( "Question 239830: A triangle has a hypotenuse of 36 inches, it has a right angle opposite the hypotenuse, and a 20 degree angle, and a 70 degree angle.\r
\n" ); document.write( "\n" ); document.write( "What is the length of the other two sides?\r
\n" ); document.write( "\n" ); document.write( "So basically, a2 + b2 = 1296\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #176041 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
A triangle has a hypotenuse of 36 inches, it has a right angle opposite the hypotenuse, and a 20 degree angle, and a 70 degree angle.
\n" ); document.write( "What is the length of the other two sides?
\n" ); document.write( "So basically, a2 + b2 = 1296
\n" ); document.write( ":
\n" ); document.write( "What you say is true but both legs are unknown, but they give the angles, so you can use the sine or cosine
\n" ); document.write( ":
\n" ); document.write( "Sin = \"%28side+opposite%29%2Fhypotenuse\"
\n" ); document.write( ":
\n" ); document.write( "Find the side opposite the 20 degree angle; let it = a
\n" ); document.write( "sin(20) = \"a%2F36\"
\n" ); document.write( ".342 = \"a%2F36\"
\n" ); document.write( "a = .342 * 36
\n" ); document.write( "a = 12.31 inches
\n" ); document.write( ":
\n" ); document.write( "Now you can find the 2nd leg using pythag, or you can use the cosine
\n" ); document.write( "which \"%28side+adjacent%29%2Fhypotenuse\"
\n" ); document.write( "cos(20) = \"b%2F36\"
\n" ); document.write( ".940 = \"b%2F36\"
\n" ); document.write( "b = .940 * 36
\n" ); document.write( "b = 33.83 inches
\n" ); document.write( ";
\n" ); document.write( ":
\n" ); document.write( "We can check this using pythag
\n" ); document.write( "12.31^2 + 33.83^2 = 1296
\n" ); document.write( "
\n" );