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dsfdsf
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Trịnh Việt Dũng
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
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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:

Nguyễn Chi Linh_LGBT
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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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Khoa Nguyễn
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Nguyễn Thị Giang
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Pham Trong Bach
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Cao Minh Tâm
17 tháng 12 2019 lúc 5:30

Pham Trong Bach
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Cao Minh Tâm
25 tháng 3 2017 lúc 5:24

Do B tù nên ta có góc ngoài của đỉnh B là góc nhọn, suy ra các góc A, C nhọn.

Nguyễn Phạm Như Ý
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Nguyễn Triệu Khả Nhi
29 tháng 7 2017 lúc 17:20

vì góc C tù nên góc C lớn hơn 90 độ

Nên góc A, B chỉ có thể là góc nhọn, không thể là góc vuông vì một tam giác có tổng là 180 độ

kbn nha

Đình Nghi Nguyễn
29 tháng 7 2017 lúc 17:25

Tam giác ABC có:

\(\widehat{A}+\widehat{B}+\widehat{C}=180\)

Mà \(\widehat{C}\)> 90

\(\Rightarrow\widehat{A}+\widehat{B}< 90\)

\(\Rightarrow\widehat{A}< 90;\widehat{B}< 90\)

anh_tuấn_bùi
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Phạm Hồ Thanh Quang
14 tháng 6 2017 lúc 9:29

Câu 1:
Xét tam giác ABH vuông tại H, ta có:
   AB2 = AH2 +  HB2 (định lý Py-ta-go)
   202  = AH2 + 162
   400  = AH2 + 256
   AH2 = 400 - 256
   AH2 = 144
   AH  = \(\sqrt{144}\)= 12 (cm)

Xét tam giác AHC vuông tại H, ta có:
   AC2 = AH2 + HC2 (định lý Py-ta-go)
   AC2 = 122  + 52
   AC2 = 144  + 25
   AC2 = 169
   AC  = \(\sqrt{169}\)= 13 (cm)

Vậy AH = 12 cm
       AC = 13 cm

Bài 2:
Xét tam giác AHC vuông tại H, ta có:
   AC2 = AH2 + HC2 (định lý Py-ta-go)
   152  = AH2 + 92
   225  = AH2 + 81
   AH2 = 225 - 81
   AH2 = 144
   AH  = \(\sqrt{144}\)= 12 (cm)

Xét tam giác AHB vuông tại, ta có:
   AB2 = AH2 + HB(định lý Py-ta-go)
   AB2 = 122  + 52
   AB2 = 144  + 25
   AB2 = 169
   AB  = \(\sqrt{169}\)= 13 (cm)

Vậy AB = 13 cm

Jepz Ki
17 tháng 9 2019 lúc 21:18

Câu này dễ

AH 12cm

AC13cm

AB13cm