document.write( "Question 175787: A certian triangle, the second side is one-third of the first side in length. The third side is 2 meter less than the first side. The perimeter of the triangle is 26 meters. Change from and algebriac equation to express the problem. \n" ); document.write( "

Algebra.Com's Answer #130865 by jojo14344(1513) $\"\"$ $\"About$

You can put this solution on YOUR website!

\n" ); document.write( "Let 1st side= $\"a=x\"$
\n" ); document.write( "2nd side= $\"b=%281%2F3%29x\"$
\n" ); document.write( "3rd side= $\"c=x-2\"$
\n" ); document.write( "Then, we know $\"P=a%2Bb%2Bc\"$ , working eqn
\n" ); document.write( " $\"26m=x%2B%281%2F3%29x%2B%28x-2%29\"$
\n" ); document.write( " $\"26%2B2=2x%2B%281%2F3%29x\"$ , get LCD
\n" ); document.write( " $\"28=%286x%2Bx%29%2F3\"$ , cross multiply
\n" ); document.write( " $\"28%2A3=7x\"$
\n" ); document.write( " $\"7x=84\"$ -------> $\"cross%287%29x%2Fcross%287%29=cross%2884%2912%2Fcross%287%29\"$
\n" ); document.write( " $\"x=12m\"$ --------> 1st side
\n" ); document.write( " $\"%281%2F3%2912=4m\"$ ---> 2nd side
\n" ); document.write( " $\"12-2=10m\"$ -----> 3rd side
\n" ); document.write( "Check via working eqn:
\n" ); document.write( " $\"26m=12%2B4%2B10\"$
\n" ); document.write( " $\"26m=26m\"$
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo \n" ); document.write( "

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