Cho tam giác ABC có 2 góc B;C nhọn .Vẽ phía ngoài tam giác ABC các tam giác vuông cân ABD(cân tại B) và ACE (cân tại C) vẽ DI và EK vuông góc với BC (I;K thuộc BC ) Chứng minh:
a)BI=CK
b)BC=ID+EK
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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
Câu hỏi của Nguyễn Vũ Thu Hương - Toán lớp 7 - Học toán với OnlineMath
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2. \(\Delta ABC\)có AB=AC \(\Rightarrow\Delta ABC\)cân.
AD là phân giác \(\Delta ABC\)mà \(\Delta ABC\)cân.
\(\Rightarrow AD\)l là đường trung trực \(\Delta ABC\)..
\(\Rightarrow AD\)là đường cao \(\Delta ABC\)..
\(\Leftrightarrow AD\perp BC\).