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Geometry 7-2 Solving Similar Δ ’s

Geometry 7-2 Solving Similar Δ ’s. Proportions can be used to find the missing lengths of similar figures. Ex) Δ CAB ~ Δ TRS. Find RT. Examples. The sides of a triangle measure 6, 11, and 15. If the smallest side of a similar triangle measures 4, find the length of its longest side.

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Geometry 7-2 Solving Similar Δ ’s

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  1. Geometry 7-2 Solving Similar Δ’s Proportions can be used to find the missing lengths of similar figures. Ex) ΔCAB ~ ΔTRS. Find RT.

  2. Examples The sides of a triangle measure 6, 11, and 15. If the smallest side of a similar triangle measures 4, find the length of its longest side. On level ground, a person 6 ft tall casts a shadow of 8 ft. At the same time, a nearby tree casts a shadow of 20 ft. Find the height of the tree. 15 x 6 4 11 x 6 20 8

  3. Perimeter and Similarity Perimeter is directly proportional to the side lengths of a figure. Ex) The corresponding sides of two similar triangles are 8 and 12. If the perimeter of the smaller triangle is 28, what is the perimeter of the larger triangle? 12 8 P = ? P = 28

  4. Nested Triangles If DA = 2, DB = 6, and BC = 16, find the length of BE. B B 16 x 8 6 A D E C

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