As shown in the figure, y = - 5x + 5 intersects with the coordinate axis at two points a and B, △ ABC is an isosceles right triangle, and the hyperbola y = KX (x < 0) passes through point C to find the value of K | Math enthusiast | Mathematical art

As shown in the figure, y = - 5x + 5 intersects with the coordinate axis at two points a and B, △ ABC is an isosceles right triangle, and the hyperbola y = KX (x < 0) passes through point C to find the value of K

∵ the straight line y = - 5x + 5 intersects the coordinate axis at two points a and B, ∵ a (1,0), B (0,5), let C (x, y), ∵△ ABC be isosceles right triangle, ∵ AC = BC, that is, (1-x) 2 + y2 = x2 + (Y-5) 2 ①, pass through point C as CD ⊥ X axis at point D, ∵ Cd2 + ad2 = ac2, 2ac2 = AB2, that is Y2 + (x-1) 2 = ac2

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