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HL

Explanation: The HL Postulate states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.

And in your triangles the hypotenuse legs are congruent (the hypotenuse is the largest side of the triangle) and the other part that is congruent is the middle leg because they are sharing that leg.

Hope this explanation helps you :D
akposevictor

The theorem that justifies why the two larger triangles are congruent to each other is: Hypotenuse-leg Congruence Theorem (HL).

What is the Hypotenuse-Leg Congruence Theorem?

The Hypotenuse-leg Congruence Theorem (HL) states that if one leg and hypotenuse of a right triangle are congruent to one corresponding leg and hypotenuse of another, both right triangles are congruent.

The two right triangles have a pair of congruent legs and a pair of congruent hypotenuse.

Therefore, the theorem that justifies why the two larger triangles are congruent to each other is: Hypotenuse-leg Congruence Theorem (HL).

Learn more about Hypotenuse-leg Congruence Theorem (HL) on:

https://brainly.com/question/16921692

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