document.write( "Question 155122: How do I find the missing sides of the triangles when each trianlge measues 30,60,90 degrees and the leg is 8\r
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document.write( "Thank you \n" );
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Algebra.Com's Answer #114209 by stanbon(75887) ![]() You can put this solution on YOUR website! How do I find the missing sides of the triangles when each trianlge measues 30,60,90 degrees and the leg is 8 \n" ); document.write( "---------------------------------- \n" ); document.write( "That depends on whether the 8 is opposite the 30 or the 60 degree angle. \n" ); document.write( "-------------------- \n" ); document.write( "If it is opposite the 30 degree angle, it is half the hypotenuse, so \n" ); document.write( "the hypotenuse would have to be 16 and the 3rd side would have to be \n" ); document.write( "sqrt[16^2 - 8^2] \n" ); document.write( "---------------------- \n" ); document.write( "If is is opposite the 60 degree angle, the side opposite the 30 is \"x\" \n" ); document.write( "and the hypotenuse is 2x. \n" ); document.write( "Then (2x)^2 = x^2 + 8^2 \n" ); document.write( "3x^2 = 64 \n" ); document.write( "x^2 = 64/3 \n" ); document.write( "x = 8/sqrt(3) \n" ); document.write( "2x = 16/sqrt(3) \n" ); document.write( "===================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |