document.write( "Question 178376: In triangle ABC, linr CD is both the median and the altitude to side AB. If AB=5x+3, AC=2x=8, and BC=3x+5, what is the perimeter of triangle ABC? \n" ); document.write( "
Algebra.Com's Answer #133537 by ankor@dixie-net.com(22740)\"\" \"About 
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In triangle ABC, line CD is both the median and the altitude to side AB. If AB=5x+3, AC=2x+8, and BC=3x+5, what is the perimeter of triangle ABC?
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\n" ); document.write( "If the median is the same as the altitude, this triangle has two equal sides,
\n" ); document.write( "namely, AC and BC, therefore:
\n" ); document.write( "2x + 8 = 3x + 5
\n" ); document.write( "8 - 5 = 3x - 2x
\n" ); document.write( "x = 3
\n" ); document.write( ":
\n" ); document.write( "AB: 5(3) + 3 = 18
\n" ); document.write( "AC: 2(3) + 8 = 14
\n" ); document.write( "BC: 3(3) + 5 = 14
\n" ); document.write( "------------------
\n" ); document.write( "the perimeter: 46 \n" ); document.write( "
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