SOLUTION: I am trying to find the perimeter of the given triangle. If triangle ABC is similar to DEF, AB=5, BC=6, AC=7 and DE=3

Algebra ->  Triangles -> SOLUTION: I am trying to find the perimeter of the given triangle. If triangle ABC is similar to DEF, AB=5, BC=6, AC=7 and DE=3      Log On


   



Question 1107113: I am trying to find the perimeter of the given triangle.
If triangle ABC is similar to DEF, AB=5, BC=6, AC=7 and DE=3

Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!

Perimeter ABC is 5+6+7 = 18 units.
DE and AB are the corresponding sides of the similar triangles and have a ratio of 3:5 (3/5).
Thus, the perimeter of DEF is (3/5)(18) = 10.8 units.
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perimeter(DEF) = DE + EF + DF = (3/5)AB + (3/5)BC + (3/5)AC = (3/5)(AB+BC+AC) = (3/5)(perimeter(ABC))