∵等边三角形ABC中AB=AC,∠A=60°∵AD=AE∴⊿ADE是等边三角形(有一个角是60°的等腰三角形是等边三角形)
∵AB =AC, AD=AE∴AB‖AD∴∠ADE =∠ABC ∠AED=ACB∴△ABC为等边三角形∴∠ABC=∠ACB=60°∴∠ADE=∠ACB=60°∴∠A=60°∴△ADE为等边三角形.
是