# Can you prove it?

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ABC is a triangle with AB = AC. D is any point on the side BC. E and F are point on the side AB and AC, respectively; such that DE is parallel to AC, and DE is parallel to AB prove that

DF + FA + AE + ED = AB + AC

ABC is a triangle with AB = AC. D is any point on the side BC. E and F are point on the side AB and AC, respectively; such that DE is parallel to AC, and DE is parallel to AB prove that

DF + FA + AE + ED = AB + AC

##### 1 Answer

Apr 6, 2017

see explanation

#### Explanation:

I assume that

Note that

and given