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Triangle with proportional segments and perpendicular height.

Right triangle ADE with point B on AD, BC perpendicular to AE, AB = 11 cm, BC = 8 cm, DE = 12 cm.

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Show Answer Key & Explanations Step-by-step solution for: Lesson: Find missing lengths in similar shapes which have sides ...

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- The triangles ABC and ADE are similar by AA similarity (they share angle A and both have a right angle).
- Therefore, the ratios of corresponding sides are equal: AB/AD = BC/DE.
- Given AB = 11 cm, BC = 8 cm, DE = 12 cm, we can set up the proportion: 11/AD = 8/12.
- Solving for AD: AD = (11 * 12) / 8 = 132 / 8 = 16.5 cm.
- The length of BD is AD - AB = 16.5 cm - 11 cm = 5.5 cm.

Parent Tip: Review the logic above to help your child master the concept of finding missing sides of similar figures worksheet.

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