State whether the triangles are congruent. Please help and explain.

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  ∆FAR ≅ ∆ORA

  HL theorem

Step-by-step explanation:

The only two overlapping triangles are ∆FAR and ∆ORA. The marks on their hypotenuses tell you those are the same length.

The common segment AR is a leg of each right triangle. Hence you have right triangles with a Hypotenuse and a Leg that are the same length. The HL theorem applies to tell you the triangles are congruent.

Additional comment

Side FA is not identified as being congruent with anything, so SSS is not possible. The only angles marked as congruent are the right angles, so ASA and AAS are not possible. Because FA is not marked, there are no congruent angles between pairs of congruent sides, so SAS is not possible. The only congruence theorem it is possible to use here is HL.

$12. that is my answer.