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Example problem demonstrating the triangle proportionality theorem with parallel lines and calculations for BC length.

A geometric diagram illustrating the triangle proportionality theorem with parallel lines and calculations for finding the length of BC.

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Show Answer Key & Explanations Step-by-step solution for: Solving Proportional Parts in Triangles and Parallel Lines ...

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- Identify the parallel lines: BE || CD.
- Apply the theorem: Since BE || CD, the ratio of the segments on one transversal equals the ratio of the corresponding segments on the other transversal. So, |AB| / |BC| = |AE| / |ED|.
- Substitute known values: AB = 22 m, AE = 26 m, ED = 10 m.
- Set up the equation: 22 / BC = 26 / 10.
- Solve for BC: BC = (22 * 10) / 26 = 220 / 26 ≈ 8.46 m.
- Round to one decimal place: BC ≈ 8.5 m.

Parent Tip: Review the logic above to help your child master the concept of triangle proportionality theorem worksheet answers.

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