document.write( "Question 698409: Three straight paths in a park form a triangle with vertices at: A(-24,16) B(56,-16) and C(-72,-32).
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document.write( "determine the area of triangle ABC
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document.write( "hint: you will have to find the length of an altitude and the area of any triangle is half base of the triangle times it's height\r
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document.write( "i have no clue on how to do this \n" );
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Algebra.Com's Answer #430630 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! Three straight paths in a park form a triangle with vertices at: A(-24,16) B(56,-16) and C(-72,-32). \n" ); document.write( "determine the area of triangle ABC \n" ); document.write( "------------- \n" ); document.write( "Do it like this. \n" ); document.write( ".A......B.....C.....A \n" ); document.write( "-24 +56 -72 -24 \n" ); document.write( "+16 -16 -32 +16 \n" ); document.write( "------------- \n" ); document.write( "Add the diagonal products starting upper left. \n" ); document.write( "-24*-`16 + 56*-32 + -72*16 = 384 - 1792 - 1152 = -2560 \n" ); document.write( "Add the diagonal products starting lower left. \n" ); document.write( "16*56 + -16*-72 + -32*-16 = 896 + 1152 + 512 = 2560 \n" ); document.write( "----------- \n" ); document.write( "The area = 1/2 the difference = 2560 sq units \n" ); document.write( "===================== \n" ); document.write( "It's a different method, not well known. \n" ); document.write( "It works for polygons with any number of sides. \n" ); document.write( " \n" ); document.write( " |