MHB How Can I Prove AH = DK in Triangle Congruency?

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To prove AH = DK in triangle congruency, it is essential to establish that the segments are equal in length, specifically by demonstrating that $\overline{AH}=\overline{DK}$. After proving that triangles ADK and ABH are congruent, one can conclude that corresponding sides of these triangles are equal. This congruency supports the HL (Hypotenuse-Leg) property, which is crucial for establishing triangle congruence. The discussion emphasizes the importance of identifying corresponding sides post-congruence proof. Thus, proving AH = DK is a necessary step in confirming the triangles' congruency.
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This is where I got so far. I can't figure out how to prove AH = DK in order to prove the HL property of congruency
 

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I'm assuming you need to prove $\overline{AH}=\overline{DK}$.

After proving $\triangle{ADK}\cong\triangle{ABH}$ what can you say about the sides of these two triangles?
 

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