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30 POINTS!!!! NEED HELP ASAP!!!!!

30 POINTS!!!! NEED HELP ASAP!!!!!-example-1

1 Answer

4 votes

Answer:

33

Explanation:

The triangle naming tells us the corresponding (and congruent) sides are ...

  • AB ≅ ED
  • BC ≅ DF
  • CA ≅ FE

We can use this last congruence to find the length of side DF.

CA ≅ FE

2x +5 = 21 . . . . . . substitute the given values for CA, FE

4x + 10 = 42 . . . . multiply by 2

4x + 1 = 33 . . . . . subtract 9. This is the length of DF

Side DF is 33 units in length.

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We could solve for x (=8) and then substitute that into the expression for DF. It is easier just to go there directly, since we can.

User Slim Fadi
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