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Indirect Measurement in Geometry: Solving Distances Using Similar Triangles

Learn how to solve inaccessible distances through indirect measurement in geometry using similar triangles. Discover the Mirror and Shadow methods, along with the concepts of ratio, proportion, and AA Similarity Postulate. Explore practical examples and applications from educational sources.

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Indirect Measurement in Geometry: Solving Distances Using Similar Triangles

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  1. Indirect Measurement Geometry Regular Program SY 2014-2015 Sources: Discovering Geometry (2008) by Michael Serra Geometry (2007) by Ron Larson

  2. Indirect Measurement Similar Triangles can be used to solve for inaccessible distances. To measure indirectly, ratio and proportion can be used.

  3. Indirect Measurement MIRROR METHOD  Example: How do you measure the height of a flagpole? So which triangles are similar? Triangles are similar by AA Similarity Postulate. Incoming angle Outgoing angle mirror

  4. Indirect Measurement SHADOW METHOD  Sun’s rays are parallel. Person’s height is measurable. Shadow’s length is measurable. Which triangles are similar? Why? Triangles are similar by AA Similarity Postulate.

  5. Indirect Measurement

  6. Indirect Measurement

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