document.write( "Question 549676: The Perimeter of a triangle is 90 inches. The longest side is 20 inches longer than the shortest side and 10 inches longer than the remaining side.
\n" ); document.write( "a)Let x, y, and z be the lengths of the three sides from the longest to smallest. Write a system of three linear equations whose solution gives the lengths of each side.
\n" ); document.write( "b) Solve the system
\n" ); document.write( "c) Check your solution \n" ); document.write( "

Algebra.Com's Answer #357928 by mananth(16949) $\"\"$ $\"About$

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x longest
\n" ); document.write( "y third side\r
\n" ); document.write( "\n" ); document.write( "z = smallest side
\n" ); document.write( "perimeter = 90\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "x=z+20
\n" ); document.write( "z=x-20.................(1)
\n" ); document.write( "x=y+10
\n" ); document.write( "y=x-10.................(2)\r
\n" ); document.write( "\n" ); document.write( "x+y+z=92
\n" ); document.write( "x+x-10+x-20=90
\n" ); document.write( "3x-30=90
\n" ); document.write( "3x=120\r
\n" ); document.write( "\n" ); document.write( "x= 40 in the longest side
\n" ); document.write( "y=x-10=30 in
\n" ); document.write( "z=x-20=20in\r
\n" ); document.write( "\n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( "

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