Cho tam giác ABC có góc B=góc C. Chứng minh tam giác ABC cân
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28 tháng 7 2023
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
7 tháng 3 2022
a: Xét ΔABC vuông tại B và ΔAED vuông tại E có
AC=AD
\(\widehat{A}\) chung
Do đó: ΔABC=ΔAED
b: Đề sai rồi bạn
15 tháng 6 2022
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23 tháng 1 2022
a: \(\widehat{A}=36^0\)
\(\widehat{B}=\widehat{C}=72^0\)
b: \(\widehat{ABD}=\dfrac{72^0}{2}=36^0\)
mà \(\widehat{BAD}=36^0\)
nên \(\widehat{ABD}=\widehat{BAD}\)
=>ΔBAD cân tại D
hay DA=DB
so easy
k nhé
Muốn chứng mình \(\Delta ABC\)là tam giác cân thì phải chứng minh 2 cạnh hoặc 2 góc bằng nhau.
Mà theo đề bài ta có: \(\widehat{B}=\widehat{C}\)( 2 góc bằng nhau )
\(\Rightarrow\Delta ABC\)cân tại \(A\)