document.write( "Question 73296This question is from textbook college algebra
\n" ); document.write( ": I need your help please, A triangle has a perimeter of 161 miles. Each of the two smaller sides are two thirds the length of the longest side. Find the length of each side of the triangle. \n" ); document.write( "
Algebra.Com's Answer #52486 by jim_thompson5910(35256)\"\" \"About 
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Let x be the longest side and y be the shorter sides. If you have the two smaller sides equal to two thirds of the longest side it looks like this
\n" ); document.write( "\"y=%282%2F3%29x\"
\n" ); document.write( "Since the perimeter is the sum of all the sides then
\n" ); document.write( "\"P=x%2By%2By\"
\n" ); document.write( "\"161=x%2B%282%2F3%29x%2B%282%2F3%29x\"Plug in 2/3x into y
\n" ); document.write( "\"161=x%2B%284%2F3%29x\"Add like terms by finding common denominator
\n" ); document.write( "\"161=%283x%2B4x%29%2F3\"Solve for x
\n" ); document.write( "\"483=%287x%29\"Multiply both sides by 3
\n" ); document.write( "\"69=x\"Divide both sides by 7
\n" ); document.write( "So the longest side is 69 miles. Take two thirds of it to find the shorter side.
\n" ); document.write( "\"y=%282%2F3%29%2869%29\"
\n" ); document.write( "\"y=46\"
\n" ); document.write( "So the shorter sides are 46 miles
\n" ); document.write( "Check:
\n" ); document.write( "Use the formula to find the perimeter
\n" ); document.write( "\"P=x%2By%2By\"
\n" ); document.write( "\"161=69%2B46%2B46\"
\n" ); document.write( "\"161=161\"Answer works
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