document.write( "Question 1196830: 3. The area of a triangle is 102 cm^2. Determine the base and the altitude of the triangle if the altitude exceeds the base by 5 cm. \n" ); document.write( "

Algebra.Com's Answer #829843 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "The area of a triangle is 102 cm^2. Determine the base and the altitude of the triangle
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document.write( "Write the area equation\r\n" );
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document.write( "     = 102\r\n" );
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document.write( "Simplify\r\n" );
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document.write( "    x*(x+5) = 2*102 = 204.\r\n" );
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document.write( "Notice that 204 = 4*51 = 4*3*17 = 12*17  is the product of two numbers, 12 and 17,\r\n" );
document.write( "whose difference is 5.\r\n" );
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document.write( "After noticing it, you just have the\r\n" );
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document.write( "ANSWER.  The base is 12 cm.  The altitude is 17 cm.\r\n" );
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