document.write( "Question 997602: The lengths of the sides of a triangle are consecutive odd integers.
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document.write( " if the perimeter is one less than four times the shortest side. find the length of each side\r
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document.write( "***please write the equation used to solve this** \n" );
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Algebra.Com's Answer #615631 by addingup(3677)![]() ![]() You can put this solution on YOUR website! Consecutive odd integers. How many numbers from 1 to3? From 3 to 5? From 5 to 7? The answer is two, there are two numbers between odds just like there are two numbers between evens: one, two AND three; three four ANd five. \n" ); document.write( "So we have that: \n" ); document.write( "a+a+2+a+2+2= 4a-1 \n" ); document.write( "3a+6= 4a-1 Add 1 to both sides: \n" ); document.write( "3a+7= 4a Subtract 3a from both sides \n" ); document.write( "7= 4a \n" ); document.write( "or \n" ); document.write( "4a= 7 Now divide both sides by 4 \n" ); document.write( "a= 7/4 The denominator is bigger than the numerator, it means we have a mixed number: \n" ); document.write( "4 goes into 7 one time and we have a remainder of 3: \n" ); document.write( "1 3/4 Since we are talking length, let's convert to decimal: 3/4= 0.75: \n" ); document.write( "1.75 is the length of the shortest side, let's call it side a \n" ); document.write( "side b: 1.75+2= 3.75 \n" ); document.write( "side c: 1.75+2+2= 5.75 \n" ); document.write( " |