SOLUTION: We are learning Similar Triangles by AA, SSS and SAS. I am not sure how to fine the solution to the following problem by using "Similar Triangles" If ED || AB, AB=10, BC=6, AC=

Algebra ->  Triangles -> SOLUTION: We are learning Similar Triangles by AA, SSS and SAS. I am not sure how to fine the solution to the following problem by using "Similar Triangles" If ED || AB, AB=10, BC=6, AC=      Log On


   

Question 568659: We are learning Similar Triangles by AA, SSS and SAS.
I am not sure how to fine the solution to the following problem by using "Similar Triangles"
If ED || AB, AB=10, BC=6, AC=8, CD=5, and GE=3, find EC, GC and EF.
Thanks.
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Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
You know that triangles ABC, DCL, CEG, etc. are all similar due to AA similarity. Furthermore, the lengths of the sides of the triangles are in the ratio 3:4:5, with 5 being the hypotenuse. Use this ratio to find the side lengths.