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Answer:
hypotenuse leg theorem or OHL
Step-by-step explanation:
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 are congruent to the hypotenuse and a leg of another right triangle, the triangles are congruent.
The congruence theorem that can be used to prove both triangles are congruent is: AAS
What is congruence theorem?
As per this theorem the two triangles are congruent if two angles and a side not between these two angles of one triangle are congruent to two corresponding angles and the corresponding side not between the angles of the other triangle.
What is AAS Congruency Theorem?
This one denotes Angle - Angle - Side and it means that if 2 angles and the non-included side of a triangle are equal to corresponding 2 angles and the non-included side of another triangle, then they are both congruent.
When we have two triangles in which the two angles and a non-included side of one is congruent to the corresponding two angles and corresponding non-included side of the other, both triangles can be proven to be congruent by the AAS Congruence Theorem.
Since the two sides and the non-included side of one triangle is congruent to the corresponding two sides and the non-included side of the other, the congruence theorem that can be used to prove both triangles are congruent is: AAS
Find out more information about congruence Theorem here
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