Justifying Equilateral Triangle AEF in ABCD

[charlie05]

Homework Statement

see attached, how do I prove? When drawn, a triangle has all angles of 60 degrees, so it is equilateral. Thank you.

Relevant Equations

an equilateral triangle has all angles 60 degrees

Given a rectangle ABCD and points E, F such that the triangles BEC and CF D are equilateral and each of them has only one side in common with the rectangle ABCD. Justify that triangle AEF is also equilateral.

 

[topsquark]

Homework Statement:: see attached, how do I prove? When drawn, a triangle has all angles of 60 degrees, so it is equilateral. Thank you.
Relevant Equations:: an equilateral triangle has all angles 60 degrees

Given a rectangle ABCD and points E, F such that the triangles BEC and CF D are equilateral and each of them has only one side in common with the rectangle ABCD. Justify that triangle AEF is also equilateral.

What attachment?

-Dan

 

[charlie05]

by attachment I mean the task text listed below under the heading, there is no other attachment, sorry for the mistake

 

[Steve4Physics]

Hi. In-line with forum rules, you need to show us evidence of your own effort. A labelled diagram with the angles you can work-out would probably be a bare minimum.

Edit: you might want to check that you have stated the question completely and accurately, as it looks wrong to me.
Edit: sorry - the question look ok.

 

[charlie05]

the full text of the task reads: : a rectangle ABCD and points E, F such that triangles BEC and CFD are equilateral and each of them has only one side in common with the rectangle ABCD. Reason that triangle AEF is also equilateral.

 

[berkeman]

Homework Statement:: see attached, how do I prove? When drawn, a triangle has all angles of 60 degrees, so it is equilateral. Thank you.
Relevant Equations:: an equilateral triangle has all angles 60 degrees

Given a rectangle ABCD and points E, F such that the triangles BEC and CF D are equilateral and each of them has only one side in common with the rectangle ABCD. Justify that triangle AEF is also equilateral.

Thread is now closed. @charlie05 -- You have been reminded multiple times in the past that you MUST show your best efforts to work on schoolwork problems when posting at PF. Please start a new thread on this question and show your work to try to answer it.