document.write( "Question 136922: By using Slopes form, show that (3, 1), (6, 3) and (2, 9) are the vertices of a right triangle. \n" ); document.write( "
Algebra.Com's Answer #100214 by dolly(163)![]() ![]() ![]() You can put this solution on YOUR website! hi,\r \n" ); document.write( "\n" ); document.write( "The slope of the line joining (3,1) and (6,3) = (3-1)/(6-3) \n" ); document.write( " = 2/3 -------------(1)\r \n" ); document.write( "\n" ); document.write( "The slope of the line joining (6,3)and (2,9) = (9-3)/(2-6) \n" ); document.write( " = 6/-4 \n" ); document.write( " = 3/-2 ------------(2) \n" ); document.write( "Multiplying (1) and (2) we get, (2/3)(3/-2) \n" ); document.write( " = -1\r \n" ); document.write( "\n" ); document.write( "As the product of the slopes is -1, the lines are perpendicular .\r \n" ); document.write( "\n" ); document.write( "==> the lines intersect at right angle \n" ); document.write( "==> the given points are the vertices of a right triangle \r \n" ); document.write( "\n" ); document.write( "good luck!!!\r \n" ); document.write( "\n" ); document.write( "dolly \n" ); document.write( " |