Question

In figure A and B are on the same side of line L. AD perpendicular to l and BE perpendicular to l. If C is the midpoint of AB proove that CD = CE.

Answer 1

There is a lot of missing information here. I can easily devise a scenario where the assertion is false.

Suppose A is 1 cm above L and B is 10 cm above L.

If D and E are on L, clearly CD < CE.

Answer 2

Ac equal to bc(midpoint)
Draw cm that is median
Triangle cdm is congruent to triangle CME
That is cd epual to ce(cpct)