document.write( "Question 1019014: An altitude of a triangle is a line drawn from a vertex of the triangle perpendicular to the opposite side of the triangle. Find the equation of the altitude drawn from A(0,0) to the side formed by B(3,4) and C(5,-2). \n" ); document.write( "
Algebra.Com's Answer #634998 by Cromlix(4381)![]() ![]() You can put this solution on YOUR website! Hi there, \n" ); document.write( "Gradient (Slope) of BC = y2 - y1/x2 - x1 \n" ); document.write( "= -2 -4/5 - 3 \n" ); document.write( "= -6/2 \n" ); document.write( "= -3 \n" ); document.write( "Lines at right angles to one another \n" ); document.write( "have gradients (slopes) that multiply \n" ); document.write( "together to give -1 \n" ); document.write( "m1 x m2 = -1 \n" ); document.write( "-3 x m2 = -1 \n" ); document.write( "m2 = 1/3 \n" ); document.write( "This is the gradient of the altitude. \n" ); document.write( "Using line equation \n" ); document.write( "y - b = m(x - a) \n" ); document.write( "with m = 1/3 and A (0,0) = (a,b) \n" ); document.write( "y - 0 = 1/3(x - 0) \n" ); document.write( "y = 1/3x \n" ); document.write( "This is the equation of the altitude \n" ); document.write( "Hope this helps :-) \n" ); document.write( " |