make a sketch ... use the fact that the sides of similar triangles are proportional.
JHello, rcs!
Your answer is close, but . . .
Let ABCD be a square with each side of length 2cm.
Let E be the midpoint of AB.
How long is the perpendicular segment from C to DE?
In right triangle , the hypotenuse is:Code:1 E A o - - - - - o - - - - - o B | θ / | | / | | F / | | _ o | | √5 / * | 2 | / * | | / * | | / * | | / * | | / * | |/ θ * | D o - - - - - - - - - - - o C 2
Right triangles and have angle .
. . Hence: .
Therefore: .