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dsfdsf
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15 tháng 6 2022 lúc 20:31

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Phan M
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Lấp La Lấp Lánh
24 tháng 8 2021 lúc 8:03

Xét tam giác ABC có:

\(\widehat{A}+\widehat{B}+\widehat{C}=180^0\)( tổng 3 góc trong tam giác)

\(\Rightarrow\widehat{B}+\widehat{C}=180^0-\widehat{A}=180^0-70^0=110^0\)

Xét tam giác ABC có:

\(\left\{{}\begin{matrix}\widehat{B}+\widehat{C}=110^0\\\widehat{B}-\widehat{C}=40^0\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}\widehat{B}=\left(110^0+40^0\right):2=75^0\\\widehat{C}=\left(110^0-40^0\right):2=35^0\end{matrix}\right.\)

Ta có: \(\widehat{C}< \widehat{A}< \widehat{B}< 90^0\)

Vậy tam giác ABC là tam giác nhọn

Quoc Tran Anh Le
Xem chi tiết
Kiều Sơn Tùng
17 tháng 9 2023 lúc 22:04

a) Tam giác ABC nhọn:

 

b) Tam giác ABC vuông tại A:

 

c) Tam giác ABC có góc A tù:

toán khó mới hay
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Osaka Mituki
29 tháng 7 2017 lúc 7:34

Gọi AH là đường cao 

Sabc=\(S_{abc}=\frac{\left(AH\cdot AB\right)}{2}\)

Nguyễn Chi Linh_LGBT
Xem chi tiết

A. tam giác vuông

#Học tốt!!!

~NTTH~

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Chu Công Đức
15 tháng 12 2019 lúc 15:23

\(\Delta ABC\)có \(\widehat{A}=60^o\)\(\Rightarrow\widehat{B}+\widehat{C}=120^o\)

mà \(\widehat{B}=3.\widehat{C}\)\(\Rightarrow4.\widehat{C}=120^o\)\(\Rightarrow\widehat{C}=30^o\)\(\Rightarrow\widehat{B}=90^o\)

\(\Rightarrow\Delta ABC\)vuông tại B 

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Lê Hương Giang
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Trần Việt Hà
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Nhi Đặng
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Nguyễn Lê Phước Thịnh
4 tháng 8 2023 lúc 19:41

Kẻ AH vuông góc BC

Xét ΔAHB vuông tại H có sin B=AH/AB

=>AH=c*sin B

Xét ΔAHC vuông tại H có sin C=AH/AC

=>AH=AC*sin C=b*sin C

=>c*sin B=b*sin C

=>c/sinC=b/sinB

Kẻ BK vuông góc AC

Xét ΔABK vuông tại K có

sin A=BK/AB

=>BK=c*sinA

Xét ΔBKC vuông tại K có 

sin C=BK/BC

=>BK/a=sin C

=>BK=a*sin C

=>c*sin A=a*sin C

=>c/sin C=a/sin A

=>a/sin A=b/sinB=c/sinC

Trần Thu Phương
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lê tran Anh Khoi
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