document.write( "Question 1195402: Find the value(s) of y such that the triangle with the given vertices has an area of 8 square units. (Enter your answers as a comma-separated list.)
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document.write( "(−4, 5), (−3, 4), (−1, y).\r
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Algebra.Com's Answer #827879 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! Find the value(s) of y such that the triangle with the given vertices has an area of 8 square units. (Enter your answers as a comma-separated list.) \n" ); document.write( "A(−4,5), B(−3,4), C(−1,y). \n" ); document.write( "----------------- \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( " A B C A\r\n" ); document.write( "-4 -3 -1 -4\r\n" ); document.write( " 5 4 y 5\r\n" ); document.write( " \n" ); document.write( "Add the diagonal products starting at the upper left. \n" ); document.write( "-4*4 + -3y -1*5 = -3y - 21 \n" ); document.write( "--- \n" ); document.write( "Add the diagonal products starting at the lower left. \n" ); document.write( "5*-3 + 4*-1 - 4y = -4y - 19 \n" ); document.write( "--- \n" ); document.write( "The ABS of the difference is y - 2 \n" ); document.write( "The area is 1/2 that = y/2 - 1 \n" ); document.write( "---- \n" ); document.write( "y/2 - 1 = 8 \n" ); document.write( "y = 18 \n" ); document.write( "================== \n" ); document.write( "The other difference is -y + 2 \n" ); document.write( "-y/2 + 1 = 8 \n" ); document.write( "y = -14 \n" ); document.write( " |