It is known that the three vertices of triangle ABC are on the image with inverse scale function y = 1 / X (1) Let a (x1, Y1), B (X2, Y2), C (X3, Y3), find the linear equation of the height on the AB side and the height on the BC side If the title, the detailed process is appropriate, thank you

It is known that the three vertices of triangle ABC are on the image with inverse scale function y = 1 / X (1) Let a (x1, Y1), B (X2, Y2), C (X3, Y3), find the linear equation of the height on the AB side and the height on the BC side If the title, the detailed process is appropriate, thank you

The three vertices of triangle ABC are all on the image of inverse scale function y = 1 / x, and a (x1, Y1), B (X2, Y2), C (X3, Y3) then Y1 = 1 / x1, y2 = 1 / X2, Y3 = 1 / X3, so the slope of AB is KAB = (y2-y1) / (x2-x1) = (1 / x2-1 / x1) / (x2-x1) = - 1 / x1the slope of high Cd on the edge of x2ab is KCD = - 1 / KAB = x1