Triangle ABC is similar to triangle DEF. To one decimal place calculate the value of x. http://curriculum.kcdistancelearning.com/courses/GEOMx-HS-WA10/b/assessments/S-SimilarTrianglesQuiz/Geometry_6.2_Quiz_FINAL_29q.gif I don't get how to do this..

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Triangle ABC is similar to triangle DEF. To one decimal place calculate the value of x. http://curriculum.kcdistancelearning.com/courses/GEOMx-HS-WA10/b/assessments/S-SimilarTrianglesQuiz/Geometry_6.2_Quiz_FINAL_29q.gif I don't get how to do this..

Mathematics
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for similar triangle the corresponding sides are in the same proportion. i.e corresponding ratios are the same: For the above triangles: AB/DE = AC/DF =BC/EF. Therefore since x is DF, can pick: AC/DF =BC/EF i.e. 13/x=5/4 => x=52/5 =10.4

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