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).

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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).
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).

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).
经过B(3,4)和C(5,-2)的直线为:
y=-3x+13
所以垂直该直线的斜率为1/3
过A(0,0)且斜率为1/3的直线为:
y=x/3
即:
x-3y=0

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