document.write( "Question 1151729: the base of a triangle is 1in more than twice the height find the base and the height if the area of the triangle is 14sq in \n" ); document.write( "

Algebra.Com's Answer #773544 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "You are given\r\n" );
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document.write( "     = 14,\r\n" );
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document.write( "which implies\r\n" );
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document.write( "    h*(2h+1) = 28.\r\n" );
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document.write( "Multiply both sides by 2. You will get\r\n" );
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document.write( "    2h*(2h+1) = 56.\r\n" );
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document.write( "Recalling that 56 = 7*8, it makes it obvious that 2h = 7.\r\n" );
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document.write( "Hence, h = 3.5 inches for the height and  2*3.5 + 1 = 8 inches for the base.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Surely, you can complete the solution via formal algebra;\r
\n" ); document.write( "\n" ); document.write( "but I showed you much shorter and simpler way.\r
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