document.write( "Question 41909: A triangular sheet of paper is 28 square inches, one side of the triangle is 2 inches more than 3 times the length of the altitudeto that side. Find the length of that side and the altitude to the side. please i donot know what formula to use of how to solve. this is not form the texbook. \n" ); document.write( "
Algebra.Com's Answer #27031 by AnlytcPhil(1807)\"\" \"About 
You can put this solution on YOUR website!
A triangular sheet of paper is 28 square inches, one side \r\n" );
document.write( "of the triangle is 2 inches more than 3 times the length \r\n" );
document.write( "of the altitudeto that side.  Find the length of that \r\n" );
document.write( "side and the altitude to the side. \r\n" );
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document.write( "       C\r\n" );
document.write( "      /|'\r\n" );
document.write( "     / |    '\r\n" );
document.write( "    /  |y       '\r\n" );
document.write( "   /   |            '\r\n" );
document.write( " A ŻŻŻŻDŻŻŻŻŻŻŻŻŻŻŻŻŻŻŻB\r\n" );
document.write( "  |--------x-----------|\r\n" );
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document.write( "Let AB = x and CD = y\r\n" );
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document.write( ">>...A triangular sheet of paper is 28 square inches...<<\r\n" );
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document.write( "     Area = 1/2 × a side × altitude to that side\r\n" );
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document.write( "       28 = 1/2 × AB × CD \r\n" );
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document.write( "       28 = (1/2)(x)(y)\r\n" );
document.write( "       28 = xy/2\r\n" );
document.write( "      \r\n" );
document.write( "Multiply both sides by 2 to clear the fraction:\r\n" );
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document.write( "       56 = xy\r\n" );
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document.write( ">>...one side of the triangle is 2 inches more than 3 times\r\n" );
document.write( "the length of the altitude to that side...<<\r\n" );
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document.write( "       AB is 2 inches more than 3 times CD\r\n" );
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document.write( "        x = 3y + 2\r\n" );
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document.write( "So you have the system of equations\r\n" );
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document.write( "56 = xy\r\n" );
document.write( " x = 3y + 2\r\n" );
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document.write( "Can you solve that? If not post again\r\n" );
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document.write( "Answer (x,y) = (14,4) and (-12, -14/3)\r\n" );
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document.write( "Discard the answer with negative numbers, \r\n" );
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document.write( "so solution is\r\n" );
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document.write( "length of side = 14 inches, length of altitude = 4 inches\r\n" );
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document.write( "Edwin\r\n" );
document.write( "AnlytcPhil@aol.com

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