document.write( "Question 147418: The perimeter of a triangle is 34 inches. The middle side is twicw as long as the shortest side. The longest side is 2 inches less than three times the shortest side. What are the lengths of the three sides? \n" ); document.write( "

Algebra.Com's Answer #107785 by aswathytony(47) $\"\"$ $\"About$

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let the sides of triangles be a, b, & c ; where c is the shortest side, a is the longest side and b is the middle side .\r
\n" ); document.write( "\n" ); document.write( "given perimeter of triangle = 34 inches\r
\n" ); document.write( "\n" ); document.write( " i.e. a + b + c = 34 \r
\n" ); document.write( "\n" ); document.write( "given middle side is twice long as shortest side i.e. b = 2 x c = 2c .......(1)\r
\n" ); document.write( "\n" ); document.write( "given longest side is 2 inches less than three times shortest side\r
\n" ); document.write( "\n" ); document.write( " i.e. a = 3x c - 2 = 3c -2 .......... (2)\r
\n" ); document.write( "\n" ); document.write( "substituting (1) & (2) in equation a + b + c = 34
\n" ); document.write( " we get, 3c-2 + 2c + c = 34
\n" ); document.write( " 3c+ 2c+ c -2 =34
\n" ); document.write( " 6c -2 = 34 \r
\n" ); document.write( "\n" ); document.write( " 6c = 34 + 2 = 36
\n" ); document.write( " c = 36/ 6 = 6 \r
\n" ); document.write( "\n" ); document.write( " a= 3c - 2
\n" ); document.write( " = (3 x 6) - 2
\n" ); document.write( " = 18- 2 = 16.
\n" ); document.write( " b = 2c = 2 x 6 = 12\r
\n" ); document.write( "\n" ); document.write( "so three sides of the triangle are 16 inches, 12 inches & 6 inches\r
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