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Review: Similar triangles

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Learn it Triangles are similar if their angles match (AA is enough) or their sides are in the same ratio. A line parallel to one side cuts off a smaller similar triangle.

Example: In triangle ABC, DE ∥ BC, AD = 3, DB = 6, DE = 4. Find BC.

  1. Triangle ADE ~ triangle ABC. AB = 3 + 6 = 9.
  2. Scale factor = AB ÷ AD = 9 ÷ 3 = 3.
  3. BC = 4 × 3 = 12.

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