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Võ Đặng Quang Minh
Xem chi tiết
Nguyễn Lê Phước Thịnh
10 tháng 5 2023 lúc 22:42

a: Xét ΔAKB và ΔAKC có

AB=AC
góc BAK=góc CAK

AK chung

=>ΔAKB=ΔAKC

ΔABC cân tại A

mà AK là phân giác

nên AK vuông góc CB

b: Xét ΔACB có

BM,AK là trung tuyến

BM cắt AK tại G

=>G là trọng tâm

c: BK=CK=18/2=9cm

=>\(AK=\sqrt{30^2-9^2}=3\sqrt{91}\left(cm\right)\)

=>\(AG=2\sqrt{91}\left(cm\right)\)

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secret1234567
Xem chi tiết
Nguyễn Lê Phước Thịnh
28 tháng 7 2023 lúc 21:14

a: góc B=90-60=30 độ

Xét ΔABC có góc C<góc B<góc A

nên AB<AC<BC

b: Xét ΔBAE vuông tại A và ΔBHE vuông tại H có

BE chung

góc ABE=góc HBE

=>ΔBAE=ΔBHE

c: ΔBAE=ΔBHE

=>EA=EH

=>ΔEAH cân tại E

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Trần Quốc Công
Xem chi tiết
Hà Thần Thái
24 tháng 2 2020 lúc 9:32

câu a, b bạn tự làm

câu c:DC=\(4\sqrt{3}\)

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 Khách vãng lai đã xóa
Hà Thần Thái
24 tháng 2 2020 lúc 9:33

\(DC=4\sqrt{3}cm\)

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 Khách vãng lai đã xóa
MNNT
Xem chi tiết
Thanh Hoàng Thanh
5 tháng 2 2021 lúc 10:21

a/  Xét tam giác ABM và tam giác EBM:

+    ^A = ^AEB ( = 90o)

+    BM chung

+    ^ABM = ^EBM ( do BM là phân giác ^B)

=>  Tam giác ABM = Tam giác EBM (ch - gn)

b/  Ta có: ^A = ^B + ^C = 90o (do tam giác ABC vuông tại A)

Mà ^C = 30o (gt)

=> ^B = 60o

Tam giác ABM = Tam giác EBM (cmt)

=> AB = EB (cặp cạnh tương ứng)

=> Tam giác ABE cân tại B 

Lại có: ^B = 60o (cmt)

=> Tam giác ABE đều 

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duy võ
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Linh Lê
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Nguyễn Lê Phước Thịnh
2 tháng 7 2023 lúc 8:33

a: Xét ΔBAD vuông tại A và ΔBED vuông tại E có

BD chung

góc ABD=góc EBD

=>ΔBAD=ΔBED

b: Xét ΔBAE có BA=BE và góc ABE=60 độ

nên ΔBAE đều

c: Xét ΔDBC có góc DBC=góc DCB

nên ΔDBC cân tại D

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Diệu Vũ
Xem chi tiết
Trần Mạnh Quân
6 tháng 5 2021 lúc 13:29

sai đề à

 

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Thao Nguyen
6 tháng 5 2021 lúc 13:30

sai de

bucminh

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Dao phan van
6 tháng 5 2021 lúc 18:10

um sai đề rồibucminh

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06- Nguyễn Minh Anh-7A9
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Nguyễn Lê Phước Thịnh
14 tháng 4 2022 lúc 20:58

a: Xét ΔBAD vuông tại A và ΔBKD vuông tại K có

BD chung

\(\widehat{ABD}=\widehat{KBD}\)

Do đó: ΔBAD=ΔBKD

b: Xét ΔADI vuông tại A và ΔKDC vuông tại K có

DA=DK

\(\widehat{ADI}=\widehat{KDC}\)

Do đó: ΔADI=ΔKDC

Suy ra: AI=KC

c: Ta có: BA+AI=BI

BK+KC=BC

mà BA=BK

và AI=KC

nên BI=BC

=>ΔBIC cân tại B

mà \(\widehat{IBC}=60^0\)

nên ΔBIC đều

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