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)\"\" \"About 
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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 :-)
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