document.write( "Question 910410: One side of triangle is half the longest side. The third side is 7 feet less than the longest side. The perimeter is 78. Find all three sides. \n" ); document.write( "

Algebra.Com's Answer #552480 by FaroukHarb(6) $\"\"$ $\"About$

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If you call the longest side (x) Then the second side is 1/2(x) and the third side is x - 7. The sum of these three sides is 78 so this translates algebraically to:
\n" ); document.write( "x + 1/2 x + x - 7 = 78
\n" ); document.write( "2.5x = 85
\n" ); document.write( "x = 34 feet
\n" ); document.write( "so the longest side is 34 feet and the second side is 1/2 x = 17 feet and the third side is x - 7 = 27 feet so the triangle's three sides are
\n" ); document.write( "34,17, 27 \n" ); document.write( "

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