document.write( "Question 1017003: One side of a triangle is 2 meters shorter than the base and the other side is 3 meters longer than half the base. If the perimeter is 15 meters find the length of each side. \n" ); document.write( "
Algebra.Com's Answer #633344 by addingup(3677)\"\" \"About 
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Let's call the base x. The problem says:
\n" ); document.write( "One side: x-2
\n" ); document.write( "Other side: 1/2x+3
\n" ); document.write( "Let's put it all together:
\n" ); document.write( "x+x-2+1/2x+3 = 15
\n" ); document.write( "2x+1/2x+1 = 15 subtract 1, both sides:
\n" ); document.write( "2x+1/2x = 14 Add on right, use common factor of 2:
\n" ); document.write( "(4x+1)/2 = 14 Add on left and multiply both sides times 2 (2 dividing and 2 multiplying on left cancel each other):
\n" ); document.write( "5x = 28 Divide both sides by 5
\n" ); document.write( "x= 28/5
\n" ); document.write( "5 goes into 28 5 times:5*5= 25 and leaves us 3 (28-25= 3), so simplifying we get:
\n" ); document.write( "x= 28/5 = 5 3/5 is the base
\n" ); document.write( "5 3/5-2= 3 3/5 is one side
\n" ); document.write( "(1/2*28/5)+3 = 28/10+3= 84/30+30/30= 114/30= 3 24/30= 3 4/5 is the other side
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\n" ); document.write( "Check:
\n" ); document.write( "3 3/5 = 18/5
\n" ); document.write( "3 4/5 = 19/5
\n" ); document.write( "28/5+18/5+19/5 = 65/5 divide and we get = 15 We have the correct answer.
\n" ); document.write( "28/5+18/5+19/5\r
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