Question

Find DE.
14
C
D
E
45°
Write your answer in simplified, rationalized form. Do not round.
DE =

Answer 1

I’m missing the diagram or a clear description of how C, D, E are arranged (which segment is 14, where the 45° angle is, and whether there is a right angle). Could you either upload the picture or say explicitly:

- which points form the triangle (e.g. triangle CDE?),
- which segment is length 14 (CD, CE, or DE), and
- at which vertex the 45° angle is?

If the figure is a 45°–45°–90° right triangle (a common case) here are the possible outcomes you might need:

- If 14 is a leg (for example CD = 14) and the angle at C is 90° with the other acute angle 45°, then DE (the hypotenuse) = 14·√2.
- If 14 is the hypotenuse, then each leg = 14/√2 = 7·√2 (rationalized).

Tell me which case matches your diagram (or upload it) and I’ll give the exact answer.