As shown in the figure, point G is the center of gravity of triangle ABC, Ge is parallel to AB, GF is parallel to AC Proof: GD is the middle line on the edge EF of the triangle GEF

As shown in the figure, point G is the center of gravity of triangle ABC, Ge is parallel to AB, GF is parallel to AC Proof: GD is the middle line on the edge EF of the triangle GEF

Because G is the center of gravity
So ad split BC equally
So BD = DC
Because Ge / / AB, angle abd = angle GED
Angle ADB = angle GDE
So triangle ADB is similar to triangle GDE
So | GD | / | ad | = | ed | / | BD|
Similarly, | GD | / | ad | = | FD | / | CD|
So | ed | = | FD|
So GD is the middle line on the edge EF of the triangle GEF

G is the center of gravity of triangle ABC, Ge is parallel to ac. if the area of triangle ABC is 36, what is the area of triangle GDE
fast

As shown in the figure, there are two slides of the same length. The height AC of the left slide is equal to the length DF of the right slide in the horizontal direction. The relationship between the inclination angles ∠ ABC and ∠ DFE of the two slides is ()
A. ∠ABC=∠DFEB. ∠ABC＞∠DFEC. ∠ABC＜∠DFED. ∠ABC+∠DFE=90°

∵ BC = EF, AC = DF, ∵ cab = ∠ FDE = 90 °≌ ABC ≌ def (HL) ∵ BCA = ∠ DFE, and ∵ in RT △ ABC, ∵ ABC + BCA = 90 °≌ ABC + DFE = 90 °. So D

There are two slides of the same length. The height AC of the left slide is equal to the horizontal length DF of the right slide
(1) What is the relationship between the inclination angle ABC and the inclination angle DFE of the two slides?
(2) What is the position relationship between the two slides BC and ef

Angle ABC + angle DFE = 90 degree
The two slides are perpendicular to each other
The title is equivalent to two right triangles, the hypotenuse is equal, the right side of one is equal to the right side of the other, so the two triangles are congruent, and then combined with graphics