Respuesta :

Answer:

C

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

The measure of the angle B = 180 - (90 + 45) = 45

Now, since ∠A = 45 = ∠B then ABC is an isoceles right angled triangle at point C

then BC = AC = 14

applying the Pythagorean theorem:

[tex]AB=\sqrt{CA^{2}+CB^{2} } = \sqrt{14^{2}+14^{2} } = 14\sqrt{2}[/tex]