Question

find gh.
gh = \square

Explanation:

Step1: Identify Congruent Segments

The segments \( GK \) and \( JK \) are both 3.6, and the lines intersect at right angles (indicated by the right angle symbol), so triangles \( GKH \) and \( JKH \) are congruent (by SAS: right angle, \( GK = JK \), and shared side \( HK \)).

Step2: Determine \( GH \) Length

Since the triangles are congruent, \( GH = HJ \). Given \( HJ = 4.6 \), so \( GH = 4.6 \).

Answer:

\( 4.6 \)