Question

find gj.
gj =
submit

Explanation:

Step1: Use the mid - segment theorem

The mid - segment theorem states that if a line segment connects the mid - points of two sides of a triangle, then it is parallel to the third side and half its length. Here, \( KI \) is the mid - segment of \( \triangle GHJ \) (since \( K \) is the mid - point of \( GJ \) and \( I \) is the mid - point of \( HJ \)).

Step2: Calculate \( GJ \)

We know that \( KI\parallel GH \) and \( GJ=2\times KJ \) (by the mid - segment theorem). Given \( KJ = 30\), then \( GJ=2\times(24 + 18)\)

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Answer:

\(84\)