document.write( "Question 147485: Triangle EWS has a perimeter of 26 and SE = 1/2 WE. The midsegment parallel to WS = 4. Find the lengths of the three sides of this triangle. \r
\n" ); document.write( "\n" ); document.write( "thank you soo much \n" ); document.write( "
Algebra.Com's Answer #108019 by aswathytony(47)\"\" \"About 
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given perimeter of triangle = 26 i.e, sum of length of three sides of triangle is 26.
\n" ); document.write( " i.e. WE + WS + SE = 26 ............(1)\r
\n" ); document.write( "\n" ); document.write( "given SE = 1/2 WE or WE = 2 SE........(2)\r
\n" ); document.write( "\n" ); document.write( " ALSO mid segment parallel to WS is 4 .\r
\n" ); document.write( "\n" ); document.write( " we know The segment that joins the midpoints of two sides of a triangle is parallel to the third side and has a length equal to half the length of the third side.
\n" ); document.write( " i.e. mid segment length is 4 then side parallel to it ; WS = 2 * 4 = 8....(3)
\n" ); document.write( " subsituting (2) & (3) in (1), we get\r
\n" ); document.write( "\n" ); document.write( " 2 SE + 8 + SE = 26
\n" ); document.write( " 3 SE + 8 = 26
\n" ); document.write( " 3SE = 26- 8
\n" ); document.write( " = 18
\n" ); document.write( " SE = 18 / 3 = 6\r
\n" ); document.write( "\n" ); document.write( " 2SE = WE ( from (2) )
\n" ); document.write( " i.e WE = 2 * 6 = 12
\n" ); document.write( "so length of three sides of the triangle are 6,8,12. \n" ); document.write( "
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