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
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document.write( "What is the length of the other two sides?\r
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document.write( "So basically, a2 + b2 = 1296\r
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Algebra.Com's Answer #176041 by ankor@dixie-net.com(22740)![]() ![]() 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 = \n" ); document.write( ": \n" ); document.write( "Find the side opposite the 20 degree angle; let it = a \n" ); document.write( "sin(20) = \n" ); document.write( ".342 = \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 \n" ); document.write( "cos(20) = \n" ); document.write( ".940 = \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( " |