Please help!! Xoxo! Appreciate it :)

Answer:
B x = sqrt(41)
Step-by-step explanation:
Since the large triangle is isosceles, the smaller triangles on the right side and left side are congruent right triangles.
The base of each smaller right triangle is 4 units long (8/2 = 4).
The vertical leg is 5.
Use the Pythagorean theorem to find x.
a^2 + b^2 = c^2
4^2 + 5^2 = x^2
16 + 25 = x^2
x^2 = 41
x = sqrt(41)
Answer: B x = sqrt(41)
Answer
B
Explanation
To find the value of x, you need to use the Pythagorean theorem.
[tex]x^{2} + y^{2} = z^{2}[/tex]
x is one of the legs.
y is another one of the legs.
z is the hypotenuse (the longest side of a right triangle).
Now for this we can set 5 to be x and 4 to be y.
y is 4 because 4 is half of 8. We need to find half of 8 because the right triangle is half of the whole triangle.
Now 'plug' these into the formula and find z.
[tex]5^{2} + 4^{2} = 41^{2}[/tex]
To find z then we must find the square root of 41.
So the answer is B.
(Now I just realized that I used the variable z for the hypotenuse when you were supposed to be finding x for the hypotenuse but whatever).