Cho tam giác ABC có góc B tù. Chứng minh rằng các góc A và C nhọn.
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PT
1
NP
2
29 tháng 7 2017
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
29 tháng 7 2017
Tam giác ABC có:
\(\widehat{A}+\widehat{B}+\widehat{C}=180\)
Mà \(\widehat{C}\)> 90
\(\Rightarrow\widehat{A}+\widehat{B}< 90\)
\(\Rightarrow\widehat{A}< 90;\widehat{B}< 90\)
11 tháng 11 2019
Xét \(\Delta ABC\)có :
\(\widehat{A}+\widehat{B}+\widehat{C}=180^o\)( định lí tổng 3 góc trong 1 tam giác )
Mà \(\widehat{B}>90^o\)
\(\Rightarrow\widehat{A}+\widehat{C}< 90^o\)
\(\Rightarrow\widehat{A}< 90^0,\widehat{B}< 90^o\)
11 tháng 11 2019
Cho mình sửa lại :
Đoạn cuối :
\(\Rightarrow\widehat{A}< 90^0,\widehat{C}< 90^o\)
2 tháng 3 2022
Bài 2:
Xét ΔABC có \(\widehat{A}>\widehat{B}>\widehat{C}\)
nên BC>AC>AB
15 tháng 6 2022
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Do B tù nên ta có góc ngoài của đỉnh B là góc nhọn, suy ra các góc A, C nhọn.