document.write( "Question 943687: One side of triangle is 3 times the shortest side. The third side is 20 feet more than the shortest side. The perimeter is 90. Find all three sides.
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Algebra.Com's Answer #575505 by rheak(1)![]() ![]() ![]() You can put this solution on YOUR website! In a triangle there are 3 sides so that would mean 3 variables.\r \n" ); document.write( "\n" ); document.write( "\"One side of triangle is 3 times the shortest side. The third side is 20 feet more than the shortest side.\" <--- That is what you said and because of this information we can label our variables.\r \n" ); document.write( "\n" ); document.write( "Shortest side is x \n" ); document.write( "Second side is \"3 times the shortest side\" so it would be 3x \n" ); document.write( "The third side is \"20 feet more than the shortest side\" so it would be x+20\r \n" ); document.write( "\n" ); document.write( "We know that the perimeter or all of the sides add up to 90 so that would be your equation.\r \n" ); document.write( "\n" ); document.write( "x+3x+x+20=90 (Simplify) \n" ); document.write( " 5x+20=90 (Subtract) \n" ); document.write( " 5x=70 (Divide) \n" ); document.write( " x=14\r \n" ); document.write( "\n" ); document.write( "So your shortest side would be 14. \n" ); document.write( "The second side would be 14x3 which is 42. \n" ); document.write( "The third side is 14+20 which is 34.\r \n" ); document.write( "\n" ); document.write( "Add them up and they should equal 90.\r \n" ); document.write( "\n" ); document.write( "Hope I helped.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |