Answer:
C
Step-by-step explanation:
Note that the right triangle has two tick marks.
This means that the sides are equivalent.
Therefore, this is a 45-45-90 triangle.
In a 45-45-90 triangle, the side lengths are n, and the hypotenuse is n√2
Since n is 5√2, then the hypotenuse x is n√2. Thus:
[tex]x=n\sqrt2\\x=(5\sqrt2)\sqrt2[/tex]
Simplify:
[tex]x=5(2)=10[/tex]
The answer is C :)
