1 Determine EG given AD=36, DF=24, AE=48, and DE || FG.

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QUESTION 10

• 10.1 Determine EG

  Step 1: Identify parallel lines and transversals.
  Given $DE \parallel FG \parallel BC$. Lines $AB$ and $AC$ are transversals.

  Step 2: Apply the Proportionality Theorem (Thales's Theorem).
  Since $DE \parallel FG$, the segments on the transversals are proportional:

  $$\frac{AD}{DF} = \frac{AE}{EG}$$

  Step 3: Substitute the given values.

  $$$$