Two congruent triangles of similar and equal circumference

Two congruent triangles of similar and equal circumference


equal
Similarity proves that the angles are the same. If the areas are equal, then they are congruent
To the contrary,
If not equal, but similar, the perimeter is not the same
This is contrary to the circumference given by the title,
So it must be congruent
That's right
Because the area ratio of similar triangles is equal to the square of the similar ratio
If the areas are equal, the similarity ratio is 1, so it is congruent



Are three triangles of equal perimeter and area congruent? If so, how to prove it?
The area and perimeter of congruent triangles are equal. Conversely, are triangles which have the same area and perimeter congruent? If congruent, please prove; if not, please explain


The following two are (4,11,11) and (7,7,12)



As shown in the figure, in △ ABC, ab = AC, D is the midpoint of BC, and E is on ad. find out congruent triangles in the figure and explain why they are congruent


The congruent triangles in the graph are: △ abd ≌ △ ACD, △ Abe ≌ △ ace, △ BDE ≌ △ CDE. Reasons: ∵ D is the midpoint of BC, ≌ BD = DC, ab = AC, ad = ad ≌ △ abd ≌ △ ACD (SSS);