Task translation: "ABC and CDE are equilateral triangles. Both triangles have A as a common corner. (a) Show that AD = BE (b) Decide the angle of AFB"

[muzzyfatts]

Task translation:

"ABC and CDE are equilateral triangles. Both triangles have A as a common corner.​

​

(a) Show that AD = BE​

(b) Decide the angle of AFB"​

Anybody got tips on how to reason around this?

 

[Deleted member 4993]

Task translation:

"ABC and CDE are equilateral triangles. Both triangles have A as a common corner.​

​

(a) Show that AD = BE​

(b) Decide the angle of AFB"​

View attachment 22040

Anybody got tips on how to reason around this?

The problem states:

"Both triangles have A as a common corner." - What does that mean? My interpretation from the given figure is that 'C' is the common vertex among ABC and CDE. What is your interpretation.

 

[Dr.Peterson]

Task translation:

"ABC and CDE are equilateral triangles. Both triangles have A as a common corner.​

​

(a) Show that AD = BE​

(b) Decide the angle of AFB"​

View attachment 22040

Anybody got tips on how to reason around this?

First, ignore the erroneous statement about a.

For part (a) I would look for a pair of congruent triangles that involve AD and BE. For part (b), I would start by labeling angles in the figure, either with numbers or with variables.