Cho tam giác ABC; AB=AC. cho BM vuông góc với AC ( M thuộc AC); CN vuông góc với AB ( N thuộc AB). Chứng minh BM = CN?
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bài 2:
ta có: AB<AC<BC(Vì 3cm<4cm<5cm)
=> góc C>góc A> góc B (Các cạnh và góc đồi diện trong tam giác)
Bài 3:
*Xét tam giác ABC, có:
góc A+góc B+góc c= 180 độ( tổng 3 góc 1 tam giác)
hay góc A+60 độ +40 độ=180độ
=> góc A= 180 độ-60 độ-40 độ.
=> góc A=80 độ
Ta có: góc A>góc B>góc C(vì 80 độ>60 độ>40 độ)
=> BC>AC>AB( Các cạnh và góc đối diện trong tam giác)
bài 2:
ta có: AB <AC <BC (Vì 3cm <4cm <5cm)
=> góc C>góc A> góc B (Các cạnh và góc đồi diện trong tam giác)
Bài 3:
*Xét tam giác ABC, có:
góc A+góc B+góc c= 180 độ( tổng 3 góc 1 tam giác)
hay góc A+60 độ +40 độ=180độ
=> góc A= 180 độ-60 độ-40 độ.
=> góc A=80 độ
Ta có: góc A>góc B>góc C(vì 80 độ>60 độ>40 độ)
=> BC>AC>AB( Các cạnh và góc đối diện trong tam giác)
HT mik làm giống bạn Dương Mạnh Quyết
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cho tam giác ABC=tam giác DEF và tam giác DEF = tam giác HIK. chứng minh tam giác ABC = tam giác HIK
Ta có: tam giác ABC=tam giác DEF (1)
và tam giác DEF = tam giác HIK (2)
Từ (1) và (2) => tam giác ABC = tam giác HIK
cho tam giác ABC=tam giác DEF và tam giác DEF = tam giác HIK. chứng minh tam giác ABC = tam giác HIK
Biết tam giác abc bằng tam giác DEF, tg DEF = tg HIK suy ra tam giác ABC = tam giác HIK
trong tam giác ABC có AB=AC nên tam giác ABC cân tại A suy ra góc B= góc C
ta có \(\widehat{NCB}=90^0-\widehat{B}\)
\(\widehat{MBC}=90^0-\widehat{C}\)
mà \(\widehat{B}=\widehat{C}\)nên \(\widehat{NCB}=\widehat{MBC}\)
Xét tam giác BMC và tam giác BNC có
\(\widehat{NCB}=\widehat{MBC}\)
\(\widehat{B}=\widehat{C}\)
BC là cạnh chung
Do đó tam giác BNC = tam giác CMB(g.c.g)
suy ra BM=CN ( 2 cạnh tương ứng)(đpcm)