cho tam giác ABC (góc B<góc C) có góc A+2B=100 độ. tính số đo góc C-B
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3)- theo bài tao có :A+B+C=180 độ.(định lí tổng ba góc của 1 tam giác)
C:B:A=1:3:6 => C/1=B/3=A/6=(A+B+C)/(1+3+6)=180/10=18
Do đó :C/1=18 B/3=18 A/6=18
=>C=18 độ =>B=54 độ =>A=104 độ
a: Áp dụng tính chất của dãy tỉ số bằng nhau, ta được:
\(\dfrac{a}{1}=\dfrac{b}{3}=\dfrac{c}{5}=\dfrac{a+b+c}{1+3+5}=\dfrac{180}{9}=20\)
Do đó: a=20; b=60; c=100
Vậy: ΔABC là tam giác tù
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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
`a,` vì Tam giác `ABC` có \(\widehat{A}=110^0\)
`=>` Tam giác `ABC` là tam giác tù.
`b,` Cạnh đối diện của \(\widehat{A}\) là cạnh `BC`
`=>` Cạnh lớn nhất của Tam giác `ABC` là cạnh `BC`
Tam giác ABC là tam giác tù vì có 1 góc A tù.
Áp dụng định lý tổng ba góc trong tam giác ABC ta có:
Suy ra ∆ABC cân tại A.
Câu hỏi của Nguyễn Vũ Thu Hương - Toán lớp 7 - Học toán với OnlineMath
Ta có: \(\widehat{A}+2.\widehat{B}=100^0\) => \(\widehat{A}=100^0-2.\widehat{B}\)
Xét t/giác ABC có: \(\widehat{A}+\widehat{B}+\widehat{C}=180^0\)(tổng 3 góc của 1 t/giác)
=> \(\left(100^0-2.\widehat{B}\right)+\widehat{B}+\widehat{C}=180^0\)
=> \(100^0-2\widehat{B}+\widehat{B}+\widehat{C}=180^0\)
=> \(100^0-\widehat{B}+\widehat{C}=180^0\)
=> \(\widehat{C}-\widehat{B}=180^0-100^0\)
=> \(\widehat{C}-\widehat{B}=80^0\)
cảm ơn nhiều