document.write( "Question 483871: The perimeter of a triangle ABC is 500m. A=40 degrees and B= 60 degrees. Find the distance AB. Thank You! :) \n" ); document.write( "
Algebra.Com's Answer #331140 by cleomenius(959)![]() ![]() You can put this solution on YOUR website! To solve this, we need to use the law of sins; it states \"The sides of a triangle are to one another in the same ratio as the sines of their opposite angles\".\r \n" ); document.write( "\n" ); document.write( "So, fist I found the sines of the three angles: \n" ); document.write( "A =40 degrees = sine is .642 \n" ); document.write( "B = 60 degrees = sine is .86 \n" ); document.write( "C = 80 degrees = sine is .985\r \n" ); document.write( "\n" ); document.write( "Next, I added up the three to obtain 2.487. \n" ); document.write( "So that is the total, to find the proportion of 500 for each side, I multiplied that angles sine/ 2.487 by 500. This resulted in:\r \n" ); document.write( "\n" ); document.write( "a = 129.1 \n" ); document.write( "b = 172.9 \n" ); document.write( "c = 198.0\r \n" ); document.write( "\n" ); document.write( "The three sides do total 500. \n" ); document.write( "Cleomenius. \n" ); document.write( " \n" ); document.write( " |