Questions: If GF=58, calculate JG. JG=

If GF=58, calculate JG. JG=
Transcript text: If $G F=58$, calculate $J G$. \[ J G= \]
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Solution

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Solution Steps

Step 1: Identify the relationship between JG and GF

G is the centroid of triangle DEF. JG is a segment from the vertex to the centroid. GF is a segment from the centroid to the midpoint of the opposite side. The centroid divides each median into a ratio of 2:1. Therefore, GF is twice the length of JG.

Step 2: Set up the equation

Given that GF = 58, and GF = 2 * JG, we can set up the equation: 58 = 2 * JG

Step 3: Solve for JG

Divide both sides of the equation by 2: JG = 58 / 2 = 29

Final Answer

JG = 29

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