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![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
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
=>\(BC=\dfrac{3}{sin60}=2\sqrt{3}\left(cm\right)\)
=>\(AB=\dfrac{2\sqrt{3}}{2}=\sqrt{3}\left(cm\right)\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(A=180^0-\left(B+C\right)=70^0\)
\(\Rightarrow A=B\Rightarrow\Delta ABC\) cân tại C
\(\Rightarrow BC=AC=10\left(cm\right)\)
Kẻ đường cao CH \(\Rightarrow\) H đồng thời là trung điểm AB
Trong tam giác vuông ACH:
\(cosA=\dfrac{AH}{AC}\Rightarrow AH=AC.cosA=10.cos70^0\approx3,42\left(cm\right)\)
\(AB=2AH\approx6,84\left(cm\right)\)
b. Cũng trong tam giác vuông ACH:
\(sinA=\dfrac{CH}{AC}\Rightarrow CH=AC.sinA=10.sin70^0\approx9,4\left(cm\right)\)
\(S_{ABC}=\dfrac{1}{2}CH.AB\approx32,15\left(cm^2\right)\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có: HB + HC = BC
=>HC = 60 - HB (cm)
Xét △AHC vuông tại H có: \(tan\widehat{C}=\dfrac{AH}{HC}\Rightarrow tan30^0=\dfrac{AH}{HC}\Rightarrow HC=\dfrac{AH}{tan30^0}\left(cm\right)\) (1)
Xét △AHB vuông tại H có: \(tan\widehat{B}=\dfrac{AH}{HB}\Rightarrow tan20^0=\dfrac{AH}{60-HC}\Rightarrow tan20^0\left(60-HC\right)=AH\) (2)
Thay (1) vào (2) ta được: \(\Rightarrow tan20^0\left(60-\dfrac{AH}{tan30^0}\right)=AH \)
\(\Rightarrow tan20^0\left(\dfrac{60.tan30^0}{tan30^0}-\dfrac{AH}{tan30^0}\right)=AH\)
\(\Rightarrow tan20^0\left(\dfrac{60.tan30^0-AH}{tan30^0}\right)=AH\)
\(\Rightarrow tan20^0\left(60.tan30^0-AH\right)=AH.tan30^0\)
\(\Rightarrow tan20^0\left(20\sqrt{3}-AH\right)=AH.tan30^0\)
\(\Rightarrow tan20^0.20\sqrt{3}-AH.tan20^0=AH.tan30^0\)
\(\Rightarrow tan20^0.20\sqrt{3}=AH.\left(tan30^0+tan20^0\right)\)
\(\Rightarrow AH=\dfrac{tan20^0.20\sqrt{3}}{tan30^0+tan20^0}\approx13,3943\left(cm\right)\)
Diện tích của △ABC là: \(S_{ABC}=\dfrac{AH.BC}{2}=\dfrac{13,3943.60}{2}\approx401,83\left(cm^2\right)\)
Vậy...........
Lời giải:
Từ $A$ kẻ $AH\perp BC$.
Xét tam giác $ABH$: $\frac{AH}{BH}=\tan B$
$\Rightarrow BH=\frac{AH}{\tan B}=\frac{AH}{\tan 50^0}$
Xét tam giác $ACH$: $\frac{AH}{CH}=\tan C$
$\Rightarrow CH=\frac{AH}{\tan C}=\frac{AH}{\tan 30^0}$
Do đó:
$BC=BH+CH=AH(\frac{1}{\tan 50^0}+\frac{1}{\tan 30^0})$
$10=AH(\frac{1}{\tan 50^0}+\frac{1}{\tan 30^0})$
$AH=3,89$ (cm)
$S_{ABC}=\frac{AH.BC}{2}=\frac{3,89.10}{2}=19,45$ (cm vuông)
Hình vẽ:
![](data:image/png;base64,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)