document.write( "Question 1091869: I have a test tomorrow and i'm having trouble understanding this question. Please help me.\r
\n" ); document.write( "\n" ); document.write( "The perimeter of a triangle is 17 centimeters. One side is 3 centimeters longer than the shortest side, whereas the third side is 2 centimeters shorter than twice the shortest side. Find the lengths of the three sides \n" ); document.write( "
Algebra.Com's Answer #706342 by addingup(3677)\"\" \"About 
You can put this solution on YOUR website!
A triangle has three sides, they are a, b, and c (lower case, upper case is used for angles)
\n" ); document.write( "Now just turn the words into algebra, like this:
\n" ); document.write( "One side: a
\n" ); document.write( "shortest side: b
\n" ); document.write( "third side: c
\n" ); document.write( "and it says that:
\n" ); document.write( "a = b+3
\n" ); document.write( "c = 2b-2
\n" ); document.write( "so the problem references all sides to b. Piece of cake!
\n" ); document.write( "-----------------------------------------------------
\n" ); document.write( "a+b+c = 17 substitute like this:
\n" ); document.write( "b+3+b+2b-2 = 17
\n" ); document.write( "4b+1 = 17
\n" ); document.write( "4b = 16
\n" ); document.write( "b = 4 so now we know that b = 4, lets find the others:
\n" ); document.write( "a = b+3 = 4+3 = 7
\n" ); document.write( "c = 2b-2 = 2(4)-2 = 8-2 = 6
\n" ); document.write( "Now that we have all our values, let's check and make sure we've got the right numbers:
\n" ); document.write( "a+b+c = 17
\n" ); document.write( "7+4+6 = 17 add the left side and you'll see I've got the correct answer.
\n" ); document.write( ":
\n" ); document.write( "Happy learning,
\n" ); document.write( "John
\n" ); document.write( " \n" ); document.write( "
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