Final answer:
The HL theorem states that if the hypotenuse and one leg of a right triangle are congruent to those of another right triangle, then the triangles are congruent. We cannot determine the correct answer.
Step-by-step explanation:
The question is asking which value of x will make two triangles congruent by the Hypotenuse-Leg (HL) theorem, which is a criterion for triangle congruence in right-angled triangles.
Without additional context or a diagram, it's not possible to accurately determine which value of x makes the two triangles congruent. However, the HL theorem states that if the hypotenuse and one leg of a right triangle are respectively equal to the hypotenuse and leg of another right triangle, the triangles are congruent.
Therefore, the value of x would need to satisfy the conditions that equate the lengths of the hypotenuses and one pair of legs of the triangles. Without knowing the specific lengths or expressions that represent the sides of these triangles, we cannot determine which answer choice is correct.