Explanation:
To find the value of x in the special right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, we are given the lengths of the two legs of the triangle, which are both 5. Let's label one leg as a and the other leg as b.
Using the Pythagorean theorem, we have:
a^2 + b^2 = c^2
Substituting the given values, we get:
5^2 + 5^2 = c^2
25 + 25 = c^2
50 = c^2
To find the value of c (the hypotenuse), we can take the square root of both sides:
√50 = √c^2
√50 = c
Simplifying the square root of 50, we get:
c ≈ 7.07
So the value of x, which represents the length of the hypotenuse, is approximately 7.07.
Therefore, the correct answer is not provided among the options given, Reason: = not enough context.