Cho tam giác ABC; góc A = 90 độ ; góc B = 60 độ. Vẽ phân giác BD ( D thuộc AC ). Vẽ DH vuông góc BC ( H thuộc BC ) . So sánh BH và DC
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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)
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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
Ta có tam giác ABD = tam giác HBD ( cạnh huyền - góc nhọn )
=> góc ABD = góc HBD = 30 độ
Xét tam giác ABC ta có
góc ABC + góc ACB + góc BAC = 180 độ
=> góc ACB = 30 độ
Ta có góc BDH = 90 độ - 30 độ = 60 độ
góc CDH = 90 độ - 30 độ 60 độ
Tam giác BHD = tam giác CHD ( g.c.g )
=> BH = CH ( hai cạnh tương ứng ) ( 1 )
Tam giác CHD vuông tại H => CD > CH ( trong tam giác vuông cạnh huyền là cạnh lớn nhất ) ( 2 )
Từ (1) và (2) => BH < CD