Cho Tam giác ABC có góc A= góc B ; CD là tia phân giác của góc ACB ( D thuộc AB). Vẽ đường thẳng m vuông góc với BC. Tia phân giác của góc DCB cắt AB tại M và cắt đường thẳng m tại N. Vẽ BH vuông góc với MN tại H ( H thuộc MN). Chứng minh BH là tia phân giác của góc MBN. ( chỉ được dùng quan hệ song song, 2 góc đối đỉnh, Tam giác bằng nhau và các tính chất)
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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
=>\(BC=\dfrac{3}{sin60}=2\sqrt{3}\left(cm\right)\)
=>\(AB=\dfrac{2\sqrt{3}}{2}=\sqrt{3}\left(cm\right)\)
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
mình ko biết bài này bởi vì mình mới học lớp 4 thôi mong bạn kết bạn với mình