Cho tam giác ABC có góc A,B,C<90,Vẽ ra phía ngoài tam giác các tam giac vuông cân tại A là tam giác ABD,ACE.Từ D,E kẻ đường thẳng vuông góc với BC cắt BC lấn lượi tại J và K.Chứng minh tam giác AJK vuông cân.
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3:
góc C=90-50=40 độ
Xét ΔABC vuông tại A có sin C=AB/BC
=>4/BC=sin40
=>\(BC\simeq6,22\left(cm\right)\)
\(AC=\sqrt{BC^2-AB^2}\simeq4,76\left(cm\right)\)
1:
góc C=90-60=30 độ
Xét ΔABC vuông tại A có
sin B=AC/BC
=>3/BC=sin60
=>\(BC=\dfrac{3}{sin60}=2\sqrt{3}\left(cm\right)\)
=>\(AB=\dfrac{2\sqrt{3}}{2}=\sqrt{3}\left(cm\right)\)
Tam giác có ba góc bằng nhau thì đó là tam giác đều. Mà tổng ba góc trong một tam giác bằng 180 độ
Do đó: góc A=góc B=góc C= 180 độ : 3= 60 độ
Số đo mỗi góc trong tam giác ABC bằng 60 độ bạn nhé
Xét tam giác ABC có góc A = góc B = góc C
=> tam giác ABC là tam giác đều
=> Góc A = góc B = góc C = 60 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