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![](https://rs.olm.vn/images/avt/0.png?1311)
Gửi bạn lời giải. Có gì sai sót thì bạn góp ý nhé!
Kẻ \(\)$\(CH \perp AB\)$ tại H, $\(DK \perp AB\)$ tại K.
Áp dụng định lí Pytago vào tam giác ABC vuông tại C, ta có:
$\(AC^2=AB^2-BC^2=26^2-10^2=576\)$
Áp dụng hệ thức lượng vào tam giác ABC vuông tại C với đường cao CH, ta có:
$\(\dfrac{1}{CH^2}=\dfrac{1}{DK^2}=\dfrac{1}{AC^2}+\dfrac{1}{BC^2}=\dfrac{1}{100}+\dfrac{1}{576}=\dfrac{169}{14400}\)$ (do ABCD là hình thang cân)
⇒ $\(CH^2=DK^2=\dfrac{14400}{169}\)$
⇒ $\(CH=DK=\dfrac{120}{13}\)$
Áp dụng định lí Pytago vào tam giác CHB vuông tại H và tam giác AKD vuông tại K có:
$\(BH^2=AK^2=10^2-\dfrac{14400}{169}=\dfrac{2500}{169}\)$ ⇒ $\(BH=AK=\dfrac{50}{13}cm\)$ Ta có: $\(AB=AK+HK+BH=AK+CD+HK\)$ ⇒ $\(CD=AB-AK-HK=26-\dfrac{100}{13}=\dfrac{238}{13}\)$
Ta có: $\({S}_{ABCD}=\dfrac{(AB+CD).AH}{2}=\dfrac{(26+\dfrac{238}{13}).\dfrac{120}{13}}{2}=\dfrac{34560}{169} cm^2\)$
![](https://rs.olm.vn/images/avt/0.png?1311)
\(S=\dfrac{6+14}{2}\cdot10=10\cdot10=100\left(cm^2\right)\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Xét tam giác \(ABD\)vuông tại \(A\):
\(BD^2=AB^2+AD^2\)(định lí Pythagore)
\(=4^2+10^2=116\)
\(\Rightarrow BD=\sqrt{116}=2\sqrt{29}\left(cm\right)\)
Lấy \(E\)thuộc \(CD\)sao cho \(AE\perp AC\)
Suy ra \(ABDE\)là hình bình hành.
\(AE=BD=2\sqrt{29}\left(cm\right),DE=AB=4\left(cm\right)\).
Xét tam giác \(AEC\)vuông tại \(A\)đường cao \(AD\):
\(\frac{1}{AD^2}=\frac{1}{AE^2}+\frac{1}{AC^2}\Leftrightarrow\frac{1}{AC^2}=\frac{1}{AD^2}-\frac{1}{AE^2}=\frac{1}{100}-\frac{1}{116}=\frac{1}{715}\)
\(\Rightarrow AC=\sqrt{715}\left(cm\right)\)
\(AE^2=ED.EC\Leftrightarrow EC=\frac{AE^2}{ED}=\frac{116}{4}=29\left(cm\right)\)suy ra \(DC=25\left(cm\right)\)
Hạ \(BH\perp CD\).
\(BC^2=HC^2+BH^2=21^2+10^2=541\Rightarrow BC=\sqrt{541}\left(cm\right)\)
\(S_{ABCD}=\left(AB+CD\right)\div2\times AD=\frac{4+25}{2}\times10=145\left(cm^2\right)\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Kẻ đường cao CH ⊥AB (H∈AB)
Ta có ∠A=∠D=∠H=90⇒AHCD là hình chữ nhật ⇒AH=DC=10(cm)
Ta có AB=AH+HB⇒HB=AB-AH=45-10=35(cm)
Ta có △HBC vuông tại H⇒BC2=HB2+HC2⇒HC2=BC2-HB2=1369-1225=144⇒HC=12(cm)
Ta có SABCD=\(\dfrac{\left(AB+CD\right).HC}{2}=\dfrac{\left(45+10\right).12}{2}=55.6=330\left(cm^2\right)\)
Lời giải:
Kẻ $CH\perp AB$ với $H\in AB$
Dễ thấy $ADCH$ là hình chữ nhật nên $AH=CD=10$ (cm)
$BH=AB-AH=45-10=35$ (cm)
Áp dụng định lý Pitago cho tam giác $BHC$ thì:
$CH=\sqrt{BC^2-BH^2}=\sqrt{37^2-35^2}=12$ (cm). Đây chính là chiều cao hình thang.
$S_{ABCD}=\frac{(AB+CD).CH}{2}=\frac{(45+10).12}{2}=330$ (cm vuông)
Hình vẽ:
![](data:image/png;base64,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)