It is known that in the triangle ABC, D is a point of BC, De is perpendicular to AB and DF is perpendicular to AC and F, and De is equal to DF. What is the relationship between AD and ef D is a point on BC. I have the wrong number

It is known that in the triangle ABC, D is a point of BC, De is perpendicular to AB and DF is perpendicular to AC and F, and De is equal to DF. What is the relationship between AD and ef D is a point on BC. I have the wrong number

Vertical relationship
Proof: connect EF to ad at point o
De is perpendicular to AB and DF is perpendicular to AC and F, and De is equal to DF
Ad = ad
So the AED of right triangle is equal to AFD of right triangle
Then angle EAO = angle FAO
And AO = Ao
So the triangle EAO is equal to the triangle FAO
Then angle AOE = angle AOF
And angle AOE + angle AOF = 180 degrees
So AOE = 90 degree
Ad is perpendicular to ef