Question 1204709
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Hint:
{{{
drawing(400,400,-5,5,-5,5,

circle(-2,-2,0.05),circle(-2,-2,0.07),circle(-2,-2,0.09),circle(-2,-2,0.11),circle(-2,-2,0.13),circle(-2,-2,0.15),circle(-2,-2,0.17),circle(-2,-2,0.19),circle(-2,3,0.05),circle(-2,3,0.07),circle(-2,3,0.09),circle(-2,3,0.11),circle(-2,3,0.13),circle(-2,3,0.15),circle(-2,3,0.17),circle(-2,3,0.19),circle(2,-2,0.05),circle(2,-2,0.07),circle(2,-2,0.09),circle(2,-2,0.11),circle(2,-2,0.13),circle(2,-2,0.15),circle(2,-2,0.17),circle(2,-2,0.19),circle(0,-2,0.05),circle(0,-2,0.07),circle(0,-2,0.09),circle(0,-2,0.11),circle(0,-2,0.13),circle(0,-2,0.15),circle(0,-2,0.17),circle(0,-2,0.19),circle(-2,0.5,0.05),circle(-2,0.5,0.07),circle(-2,0.5,0.09),circle(-2,0.5,0.11),circle(-2,0.5,0.13),circle(-2,0.5,0.15),circle(-2,0.5,0.17),circle(-2,0.5,0.19),circle(0,0.5,0.05),circle(0,0.5,0.07),circle(0,0.5,0.09),circle(0,0.5,0.11),circle(0,0.5,0.13),circle(0,0.5,0.15),circle(0,0.5,0.17),circle(0,0.5,0.19),

line(-2,-2,-2,3),line(-2,3,2,-2),line(2,-2,-2,-2),line(0,-2,-2,0.5),line(0,-2,0,0.5),line(-2,0.5,0,0.5),

line(-2,-1.65,-1.65,-1.65),line(-1.65,-1.65,-1.65,-2),
line(-2,0.85,-1.65,0.85),line(-1.65,0.85,-1.65,0.5),
line(0,-1.65,0.35,-1.65),line(0.35,-1.65,0.35,-2),
line(-0.35,0.5,-0.35,0.15),line(-0.35,0.15,0,0.15),


locate(-2.4,-2.22,"A"),locate(-2.58,3.22,"B"),locate(1.96,-2.2,"C"),locate(-0.12,-2.2,"D"),locate(-2.32-0.1,0.66,"E"),locate(0.32,0.64,"F")

)

}}}
Right triangle ABC is folded over line EF to form trapezoid AEFC. 
Point B will move to point D. None of the other labeled points move.
I recommend cutting out a piece of paper to do the fold yourself.


Some more hints
AB = 2*AE
AC = 2*EF
E and F are midpoints of AB and BC respectively
area of a triangle = 0.5*base*height
area of a trapezoid = 0.5*height*(base1+base2)


Technically the formulas aren't needed because there's an intuitive approach using the diagram shown above. But it doesn't hurt to use the formulas anyway.


Edit: The student has requested another hint. Notice how, based on the folds, we have 4 small congruent triangles. 
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