In △ ABC, ab = Acad is perpendicular to BC, the perpendicular foot is D, an is the bisector of ∠ cam, CE ⊥ an, the perpendicular foot is e When △ ABC satisfies what conditions, the quadrilateral adce is a square

In △ ABC, ab = Acad is perpendicular to BC, the perpendicular foot is D, an is the bisector of ∠ cam, CE ⊥ an, the perpendicular foot is e When △ ABC satisfies what conditions, the quadrilateral adce is a square

Right angle isosceles triangle

As shown in the figure, in △ ABC, ad ⊥ BC, CE ⊥ AB, perpendicular feet are D and e respectively, ab = 6, ad = 5, BC = 4 are known, and the length of CE is calculated

∵ ad ⊥ BC, CE ⊥ AB, ∵ s △ ABC = 12bc · ad = 12ab · CE, that is, 12 × 4 × 5 = 12 × 6 · CE, the solution is CE = 103