Cho tam giác ABC có A(3;-4), B(1;5), C(3;1). Tính diện tích tam giác ABC.
A. 10
B. 5
C. √26
D. 2√5
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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
Gọi I(a;b) là tâm đường tròn ngoại tiếp tam giác ABC.
Ta có: AI = BI = CI ⇔ AI2 = BI2 = CI2
A I 2 = B I 2 B I 2 = C I 2 ⇔ a − 3 2 + b + 3 2 = a + 3 2 + b − 5 2 a + 3 2 + b − 5 2 = a − 3 2 + b − 5 2
⇔ a 2 − 6 a + 9 + b 2 + 6 b + 9 = a 2 + 6 a + 9 + b 2 − 10 b + 25 a 2 + 6 a + 9 + b 2 − 10 b + 25 = a 2 − 6 a + 9 + b 2 − 10 b + 25 ⇔ − 12 a + 16 b = 16 12 a = 0 ⇔ a = 0 b = 1
Vậy tâm I(0; 1).
Chọn B.
Chọn B.
Ta có:
Mặt khác
Suy ra diện tích tam giác ABC là 1/2.AB.BC = 6.
\(S_{ABC}=\frac{1}{2}\left|\left(x_B-x_A\right)\left(y_C-y_A\right)-\left(x_C-x_A\right)\left(y_B-y_A\right)\right|\)
\(S_{ABC}=\frac{1}{2}\left|-2.5-0.9\right|=5\)