Question

Find the value of the variable. If your answer is not an integer, leave it in simplest radical form. Picture included.

Answer 1

I thought it was D, but that was wrong, so I'm not sure what it is.

Answer 2

from the pic we can see it is a 45-45-90 triangle making it a special right triangle

Answer 3

a^2+a^2=25
(5 sqrt2)/2 i guess A

Answer 4

A

Answer 5

as the triagel is issosceles it has cnguent cathethises

Answer 6

Thank You @AlexandervonHumboldt2