Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a: Ta có: \(\hat{BDA}+\hat{BDE}=\hat{ADE}=90^0\)
\(\hat{BAD}+\hat{BED}=90^0\) (ΔADE vuông tại D)
mà \(\hat{BDA}=\hat{BAD}\) (BA=BD)
nên \(\hat{BDE}=\hat{BED}\)
b: BC//EF
=>\(\hat{BDE}=\hat{DEF}\) (hai góc so le trong)
mà \(\hat{BDE}=\hat{BED}\)
nên \(\hat{BED}=\hat{DEF}\)
=>ED là phân giác của góc AEF
Xét ΔEAF có
ED là đường phân giác
ED là đường cao
Do đó: ΔEAF cân tại E
ΔEAF cân tại E
mà ED là đường cao
nên D là trung điểm của AF
=>DA=DF
Xin lỗi mk ko biết vẽ hình trên máy
a) Xét tam giác ABD và tan giác EBD có :
BD chung
góc ABD = góc EBD ( vì BD la phân giác góc B )
góc A = góc E ( = 90 )
=> Tam giác ABD = tam giác EBD ( cạnh huyền- góc nhọn )
=> AD = DE
Chúc bạn hc tốt
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