Two sides and the non-included right angle of one right triangle are congruent to the corresponding parts of another right triangle. Which congruence theorem can be used to prove that the triangles are congruent?

In a right triangle, the side opposite the right angle is the hypotenuse. Since the right angle is not between the two congruent sides, those sides are the hypotenuse and a leg. Congruent hypotenuses and one pair of congruent legs prove the triangles congruent by the Hypotenuse-Leg (HL) theorem.

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