Answer:
D. [tex]8\sqrt{2}[/tex]
Step-by-step explanation:
As the two non-right angles on this triangle measure the same, their corresponding sides must be the same as well. This means that the other side length is 8.
Now that we have two of the side lengths, we can use the Pythagorean theorem to find side x
recall that the Pythagorean theorem states: [tex]a^2+b^2=c^2[/tex]
In this case, a is 8, b is 8, and c is c
Now we can plug in the numbers and simplify.
[tex]8^2+8^2=x^2\\\\64+64=x^2\\\\128=x^2\\\\x=\sqrt{128} \\\\x=8\sqrt{2}[/tex]
