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Understanding Similar Triangles: Ratios and Applications

Learn about similar triangles and how to calculate heights using ratios. Explore applications in real-world scenarios.

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Understanding Similar Triangles: Ratios and Applications

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  1. similar triangles

  2. Two triangles are called “similar” if their corresponding angles have the same measure.      

  3. Two triangles are called “similar” if their corresponding angles have the same measure.  Ratios of corresponding sides are equal. C A  a c     b B = =

  4. application

  5. Mary is 5 ft 6 inches tall. She casts a 2 foot shadow. The tree casts a 7 foot shadow. How tall is the tree?

  6. Mary is 5 ft 6 inches tall. She casts a 2 foot shadow. The tree casts a 7 foot shadow. How tall is the tree? = x 5.5 2 7

  7. Mary is 5 ft 6 inches tall. She casts a 2 foot shadow. The tree casts a 7 foot shadow. How tall is the tree? = = x 5.5 2 7

  8. = 7 ( 5.5 ) = 2 x 38.5 = 2 x x = 19.25 The height of the tree is 19.25 feet

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