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Nguyễn Thị Huyền Thương
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Phương Quyên
14 tháng 1 2016 lúc 15:11

Mình giải câu c thôi nha mấy câu trên dài lắm

c) tam giác ADB vuông cân suy ra góc DAB = 45 độ

   tam giác AEC vuông cân suy ra góc EAC = 45 độ

   Nếu D,A,E thẳng hàng suy ra góc DAB + góc BAC + góc CAE =180 độ

                                    suy ra góc BAC = 90 độ

  Vậy tam giác ABC vuông tại A thì D,A,E thẳng hàng

Linh Hương
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Nguyễn Hồng Anh
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Bạch Hoàng Anh Thư
27 tháng 2 2018 lúc 22:37

khó qá kết bạn nhé?

Bạch Hoàng Anh Thư
27 tháng 2 2018 lúc 22:38

hic em chào chị em mới lớp 5 em thật vô lễ qá xin lỗi chị

Arima Kousei
27 tháng 2 2018 lúc 22:39

Bạn có thể vẽ hình ko ? ^_^ 

Nguyễn Thiện Quân
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dsfdsf
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Trịnh Việt Dũng
15 tháng 6 2022 lúc 20:31

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Đoàn Lê Na
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Đoàn Lê Na
23 tháng 1 2019 lúc 6:20

Giúp mình với ạ!

BÍCH THẢO
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Lê Song Phương
9 tháng 9 2023 lúc 19:36

a) Do tam giác AEB vuông cân tại A nên \(\left\{{}\begin{matrix}\widehat{EAB}=90^o\\AE=AB\end{matrix}\right.\)

Ta thấy \(\widehat{MEA}=\widehat{BAH}\) vì chúng cùng phụ với \(\widehat{EAM}\)

Xét 2 tam giác HAB vuông tại H và MEA vuông tại M, ta có:

\(AE=AB\left(cmt\right),\widehat{MEA}=\widehat{BAH}\left(cmt\right)\)

\(\Rightarrow\Delta HAB=\Delta MEA\left(ch-gn\right)\) \(\Rightarrow AH=ME\)     (1)

Tương tự, ta cũng có \(\Delta HAC=\Delta NFA\Rightarrow HC=AN\)     (2)

Từ (1) và (2) suy ra \(EM+HC=AH+AN\) hay \(EM+HC=HN\) (đpcm)

b) Từ \(\Delta HAC=\Delta NFA\Rightarrow AH=NF\)

Từ đó suy ra \(ME=NF\left(=AH\right)\)

Xét tam giác MNE và NMF, ta có:

\(ME=NF\left(cmt\right),\widehat{EMN}=\widehat{FNM}\left(=90^o\right)\), MN là cạnh chung.

\(\Rightarrow\Delta MNE=\Delta NMF\left(c.g.c\right)\)

\(\Rightarrow\widehat{ENM}=\widehat{FMN}\) \(\Rightarrow\) EN//FM (2 góc so le trong bằng nhau)

Ta có đpcm.

Hoàng Ph HùnH
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Hà Thị Ánh Tuyết
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