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

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Phương Thảo
Xem chi tiết
Trịnh Việt Dũng
15 tháng 6 2022 lúc 20:29

chịu hoi =))))))

 

Trịnh Việt Dũng
15 tháng 6 2022 lúc 20:29

em mới học lớp 7 hà

năm nay lên lớp 8 =)))))

Nguyễn Thảo My
14 tháng 1 2023 lúc 21:25

1)Ta có: \(S_{ABC}=\dfrac{1}{2}AB.AC.\sin A\)

\(\Leftrightarrow8=\dfrac{1}{2}\times4\times5\times sinA\)

\(\Leftrightarrow\sin A=0,8\)

Lại có: \(\left(\sin A\right)^2+\left(\cos A\right)^2=1\Leftrightarrow\cos A=0,6.\)

Áp dụng định lí hàm số cosin:

\(BC^2=AB^2+AC^2-2AB\times AC\times\cos A\)

\(\Leftrightarrow BC^2=4^2+5^2-2\times4\times5\times0,6=17\)

\(\Leftrightarrow BC=\sqrt{17}.\)

2) Trong \(\Delta ABC\) có: \(g\text{ó}cA+g\text{óc}B+g\text{óc}C=180^o\)

=> BAC=75o.

Áp dụng định lí hàm số sin:

\(\dfrac{AB}{\sin C}=\dfrac{BC}{\sin A}\Leftrightarrow\dfrac{3}{\sin45^o}=\dfrac{BC}{\sin75^o}\)

\(\Leftrightarrow BC=\dfrac{3+3\sqrt{3}}{2}\).

 

 

Soái Tỷ😎😎😎
Xem chi tiết
Aug.21
2 tháng 7 2019 lúc 8:07

Gọi ( O;R ) , ( I ;r ) lần lượt là các đường tròn ngoại tiếp tam giác ABC, DEF 

Tam giác ABC ~ Tam giác DEF ( vì \(\widehat{ABC}=\widehat{DEF};\widehat{BAC}=\widehat{EDF}\)\(\Rightarrow\widehat{ABC}=\widehat{DEF}\)

\(\widehat{ACB},\widehat{DEF}\)nhọn nên \(\widehat{ACB}=\frac{1}{2}\widehat{AOB};\widehat{DEF}=\frac{1}{2}\widehat{DIE}\)( hệ quả góc nội tiếp )

\(\Rightarrow\widehat{AOB}=\widehat{DIE}\)

     \(OA=OB\left(=R\right)\Rightarrow\Delta OAB\)cân tại O

    \(ID=IE\left(=r\right)\Rightarrow\Delta IDE\)cân tại I

Do đó Tam giác OAB ~ Tam giác IDE \(\Rightarrow\frac{OA}{ID}=\frac{AB}{DE}\Rightarrow\frac{R}{r}=\frac{3DE}{DE}\)

                                                           \(\Rightarrow R=3r\) ( đpcm)

Đông Phương Lạc
5 tháng 7 2019 lúc 7:24

Gọi ( O; R ), ( I; R ) lần lượt là các đường tròn ngoại tiếp tam giác ABC, DEF

Tam giác ABC ~ Tam giác DEF ( vì \(\widehat{ABC}=\widehat{DEF;}\widehat{BAC}=\widehat{EDF}\)  ) \(\Rightarrow\widehat{ABC}=\widehat{DEF}\)

\(\widehat{ABC}=\widehat{DEF}\)nhọn nên \(\widehat{ACB}=\frac{1}{2}\widehat{AOB};\widehat{DEF}=\frac{1}{2}\widehat{DIE}\)(hệ quả góc nội tiếp )

\(\Rightarrow\widehat{AOB}=\widehat{DIE}\)

\(OA=OA\left(=R\right)\Rightarrow\Delta OAB\)cân tại O

Do đó Tam giác OAB ~ Tam giác IDE\(\Rightarrow\frac{OA}{ID}=\frac{AB}{DE}\Rightarrow\frac{R}{r}=\frac{3DE}{DE}\)

                                                       \(\Rightarrow R=3r\left(đpcm\right)\)

  Rất vui vì giúp đc bạn <3

Lê Ngọc Linh
Xem chi tiết
Trình
6 tháng 8 2018 lúc 17:33

Tam giác ADE và tg ABC có 

\(\hept{\begin{cases}\widehat{A}chung\\\\\frac{AD}{AE}=\frac{AB}{AC}\left(\frac{AD}{AB}=\cos\widehat{A}=\frac{AE}{AC}\right)\end{cases}}\)

Suy ra ADE đồng dạng ABC

=> đpcm

Nguyễn Hoàng Bảo Su
6 tháng 8 2018 lúc 17:42

sorry mk ch hojccasi này

Baỏ Trần
Xem chi tiết
Trịnh Việt Dũng
15 tháng 6 2022 lúc 20:34

câu 1 E + F = 90 độ

câu 2 góc AMB và góc AMC

câu 3 AC = MP

 

Lê khắc Tuấn Minh
Xem chi tiết
Nguyễn Lê Phước Thịnh
1 tháng 2 2022 lúc 1:37

Xét ΔADB vuông tại D và ΔAEC vuông tại E có 

\(\widehat{A}\) chung

Do đó: ΔADB\(\sim\)ΔAEC

Suy ra: AD/AE=AB/AC
hay AD/AB=AE/AC

Xét ΔADE và ΔABC có 

AD/AB=AE/AC

\(\widehat{A}\) chung

Do đó: ΔADE\(\sim\)ΔABC

Suy ra: \(\widehat{ADE}=\widehat{ABC}\)

Irene
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Phạm Anh Minh
29 tháng 1 2019 lúc 18:59

có 3 tam giác thì lấy 3 tam giác đó ghép lại

Irene
29 tháng 1 2019 lúc 19:00

bn vẽ hình ra đi

TùGúttBoii
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Nguyễn Lê Phước Thịnh
24 tháng 2 2021 lúc 20:11

Câu 1: Số đo góc C là 60 độ

Câu 2: Thiếu điều kiện AB=MN

Câu 3: Chọn C

Câu 4: Chọn B 

Tạ Thị Thanh Mai
Xem chi tiết
Nguyễn Huy Tú
11 tháng 4 2021 lúc 11:50

A B C H K

a, Xét tam giác AHB và tam giác AKC ta có 

^AHB = ^AKC = 900

^A _ chung 

Vậy tam giác AHB ~ tam giác AKC ( g.g )

\(\Rightarrow\frac{AH}{AK}=\frac{AB}{AC}\Rightarrow\frac{AC}{AK}=\frac{AB}{AH}\)

b, Xét tam giác AHK và tam giác ABC ta có : 

^A _ chung 

\(\frac{AC}{AK}=\frac{AB}{AH}\)( cmt )

Vậy tam giác AHK ~ tam giác ABC ( c.g.c )

Do 2 tam giác đồng dạng theo trường hợp c.g.c tức là ^AHK = ^ABC 

mà ^ABC = 580 => ^AHK = 58

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