Using the provided diagram and lengths, determine the length of EG.

April 21, 2026Mathematics

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April 21, 2026

Answer

\frac{AE}{EG} $$

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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) to transversals $AB$ and $AC$ cut by parallel lines $DE$ and $FG$ . $\frac{AD}{DF} = \frac{AE}{EG}$ Step 3: Substitute the given values $AD = 36$ cm, $DF = 24$ cm, $AE = 48$ cm.

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Quick Answer

Identify parallel lines and transversals. Given DE FG BC.

Asked on April 21, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 21, 2026

Here are the solutions to the problems. QUESTION 10 10.1 Determine EG Step 1: Identify parallel lines and transversals. Given DE FG BC. Lines AB and AC are transversals. Step 2: Apply the Proportionality Theorem (Thales's Theorem) to transversals AB and AC cut by parallel lines DE and FG. (AD)/(DF) = (AE)/(EG) Step 3: Substitute the given values AD = 36 cm, DF = 24 cm, AE = 48 cm.