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You can put this solution on YOUR website!
i believe the law of sines is what you need to solve this problem.
\n" ); document.write( "the law of sines says:
\n" ); document.write( "side s / sine of angle S = side r / sine of angle R.
\n" ); document.write( "you are given that side s is equal to 3/4 * side r
\n" ); document.write( "the formula becomes:
\n" ); document.write( "3/4 * side r / sine of angle S = side r / sine of angle R.
\n" ); document.write( "cross multiply to get:
\n" ); document.write( "3/4 * side r * sine of angle R = sine of angle S * side r
\n" ); document.write( "since angle R is equal to 140 degrees, this equation becomes:
\n" ); document.write( "3/4 * side r * sine of 140 degrees = sine of angle S * side r
\n" ); document.write( "divide both sides of this equation by side r to get:
\n" ); document.write( "3/4 * side r / side r * sine of 140 degrees = sine of angle S.
\n" ); document.write( "side r / side r cancels out and you are left with:
\n" ); document.write( "3/4 * sine of 140 degrees = sine of angle S.
\n" ); document.write( "sine of 140 degrees is equal to .6427876097.
\n" ); document.write( "3/4 times that is equal to .4820907073
\n" ); document.write( "take the arcsine of that to get angle S equal to 28.82203865 degrees.
\n" ); document.write( "since the sum of the angles of a triangle is always equal to 180 degrees, then you get:
\n" ); document.write( "angle T is equal to 180 minus 28.82203865 minus 140 = 11.17796135 degrees.
\n" ); document.write( "you now have all the angles of the triangle.
\n" ); document.write( "angle R = 140 degrees.
\n" ); document.write( "angle S = 28.82203865 degrees.
\n" ); document.write( "angle T = 11.17796135 degrees.
\n" ); document.write( "here's a reference on the law of sines.
\n" ); document.write( "https://www.mathopenref.com/lawofsines.html
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