document.write( "Question 1123941: One side of a triangle is 33 cm shorter than the base. The other side is 73 cm longer than the base. What length of the base will give a perimeter of 223 cm? \n" ); document.write( "

Algebra.Com's Answer #740311 by ikleyn(52794) $\"\"$ $\"About$

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\n" ); document.write( "One side of a triangle is 33 cm shorter than the base. The other side is 73 cm longer than the base.
\n" ); document.write( "What length of the base will give a perimeter of 223 cm?
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document.write( "Let x be the length of the base (now unknown).\r\n" );
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document.write( "According to the condition,\r\n" );
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document.write( "    x + (x-33) + (x+73) = 223    (the perimeter).\r\n" );
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document.write( "Simplify and solve for x:\r\n" );
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document.write( "    3x = 223 + 33 - 73\r\n" );
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document.write( "    3x = 183  ====>  x = 183/3 = 61.\r\n" );
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document.write( "====>  The base should be 61 cm long.\r\n" );
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document.write( "Check.  You should find other side lengths and check if the thriangle inequalities are satisfied.\r\n" );
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document.write( "        The other sides are 61-33 = 28  and  61 + 73 = 134.\r\n" );
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document.write( "        61 + 28 = 89  is less than  134  ==================>  Such a triangle DOES NOT EXIST.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Answer. SUCH A TRIANGLE DOES NOT EXIST.\r
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