document.write( "Question 1064160: The perimeter of a triangle is 44 cm. One of its sides is 4 cm smaller than the other and twice as long as the third side. Find the sides of the triangle? \n" ); document.write( "
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\n" ); document.write( "The perimeter of a triangle is 44 cm. One of its sides is 4 cm smaller than the other and twice as long as the third side. Find the sides of the triangle?
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Let the other (2nd) side be S
\n" ); document.write( "Then 1st side = S - 4
\n" ); document.write( "Also, 1st side is twice 3rd side, or 3rd side is
\n" ); document.write( "Since the sides sum to 44 cm, we get: \"S+%2B+S+-+4+%2B+%28S+-+4%29%2F2+=+44\"
\n" ); document.write( "\"2S+-+4+%2B+%28S+-+4%29%2F2+=+44\"
\n" ); document.write( "\"2S+%2B+%28S+-+4%29%2F2+=+48\"
\n" ); document.write( "4S + S - 4 = 96 ------- Multiplying by LCD, 2
\n" ); document.write( "5S = 96 + 4
\n" ); document.write( "5S = 100
\n" ); document.write( "S, or
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