As shown in the figure, be and CF are the heights of △ ABC, M is the midpoint of BC, BC = 10, EF = 5, root 2, and find the area of triangle EFM kuaidiann

As shown in the figure, be and CF are the heights of △ ABC, M is the midpoint of BC, BC = 10, EF = 5, root 2, and find the area of triangle EFM kuaidiann


Can I have a picture



(2000 · Henan) as shown in the figure, in isosceles RT △ ABC, ∠ C = 90 °, D is any point of hypotenuse AB, AE ⊥ CD at e, BF ⊥ CD intersects the extension line of CD at F, CH ⊥ AB at h, intersects AE at g, proving: BD = CG


It is proved that: ∵ ABC is an isosceles right triangle, CH ⊥ AB, ∵ AC = BC, ∵ ACh = ⊥ CBA = 45 °. ∵ ch ⊥ AB, AE ⊥ CF, ∵ EDH + ⊥ HGE = 180 °.