What is a right angle?
Then how do the angles C F E and E F D compare with each other?
If the two triangles E F C, E F D, have the side C F of the one equal to the side F D of the other, the side E F common to both, and the included angle E F C of the one equal to the included angle E F D of the other, each to each, what do you infer?
Then what third side of the one have you found equal to a third side of the other?
C E is what part of the broken line C E D?
C F is what part of the line C D?
Which is shorter, the straight line C D, or the broken line C E D?
Then how does the half of C D or C F compare with the half of C E D or C E?
If C E is any line whatever other than a perpendicular, what may we now say of the perpendicular from the point C to the straight line A B?