document.write( "Question 289188: How do you find a triangle whose ratio is 2:5:8 - this is sophmore advanced geometry and I am just a homebound teacher. please help!!! \n" ); document.write( "
Algebra.Com's Answer #209543 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! 2:5:8 \n" ); document.write( "IF these are the ratios of the three sides. \n" ); document.write( "2n+5n+8n=15n where n is the multiplier of the sides.. \n" ); document.write( "However; these ratios are not valid for a triangle. \n" ); document.write( "The sum of the 2 smallest sides (2+5)=7 is less than the third side=8. \n" ); document.write( "Thus these ratios cannot be used to make a triangle. \n" ); document.write( "----------------------------------------------------------- \n" ); document.write( "IF these ratios are for the angles then: \n" ); document.write( "2n+5n+8n=15n \n" ); document.write( "15n=180 \n" ); document.write( "n=180/15 \n" ); document.write( "n=12 is the multiplier of the ratio values. \n" ); document.write( "2*12=24 degrees. \n" ); document.write( "5*12=60 degrees. \n" ); document.write( "8*12=96 degrees. \n" ); document.write( "Proof: \n" ); document.write( "24+60+96=180 \n" ); document.write( "180=180 \n" ); document.write( " \n" ); document.write( " |