Two side and the non included right angle of one right triangle are congruent to the corresponding parts of another right triangle. which congruence theorem can ve used to prove the triangles are congruent

Since the congruent angle is a right angle and it is not included, the two congruent sides of the triangles must include their hypotenuses and one of their legs.

The triangles would be congruent by the hypotenuse leg theorem, which states that if the hypotenuse and one leg of a right triangle is congruent to the hypotenuse and a leg of another right triangle, the triangles are congruent.

hypotenuse leg theorem

Hypotenuse leg theorem

Step-by-step explanation:

Given that: Two side and the non included right angle of one right triangle are congruent to the corresponding parts of another right triangle.

Since the congruent angle is a right angle and it is not included, the two congruent sides of the triangles must include their hypotenuses and one of their legs.

The triangles would be congruent by the hypotenuse leg theorem, which states that if the hypotenuse and one leg of a right triangle is congruent to the hypotenuse and a leg of another right triangle, the triangles are congruent.

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