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nhưng câu dễ thì vẫn nên tự làm ik

Tớ ko giúp đc)): _{^{cọu tự tra google đuy,chứ có google để làm j ((:?}} 

Từ D kẻ đường vuông góc DK (K thuộc AB)  \(\Rightarrow CDKH\) là hình chữ nhật

\(\Rightarrow\left\{{}\begin{matrix}HK=CD=3,5\left(m\right)\\CH=DK=5\left(m\right)\end{matrix}\right.\)

Ta có:\(\widehat{KDA}=135^0-90^0=45^0\)  

Trong tam giác vuông BCH:

\(cos\widehat{BCH}=\dfrac{CH}{BC}\Rightarrow BC=\dfrac{CH}{cos\widehat{BCH}}=\dfrac{5}{cos30^0}=\dfrac{10\sqrt{3}}{3}\left(m\right)\)

\(\Rightarrow BH=\sqrt{BC^2-CH^2}=\dfrac{5\sqrt{3}}{3}\left(m\right)\)

Trong tam giác vuông ADK:

\(\widehat{KAD}=90^0-\widehat{KDA}=45^0\Rightarrow\widehat{KAD}=\widehat{KDA}\Rightarrow\Delta ADK\) vuông cân tại K

\(\Rightarrow AK=DK=5\left(m\right)\)

\(\Rightarrow AD=\sqrt{AK^2+DK^2}=5\sqrt{2}\left(m\right)\)

\(AB=BH+HK+KA=\dfrac{51+10\sqrt{3}}{6}\left(m\right)\)

Chu vi: \(AB+CD+BC+AD\approx27,7\left(m\right)\)

Diện tích: \(S=\dfrac{1}{2}\left(AB+CD\right).CH\approx37,2\left(m^2\right)\)

\(=\left(\dfrac{\sqrt{5}\left(\sqrt{3}-2\right)}{\sqrt{3}-2}+\dfrac{\sqrt{6}\left(\sqrt{3}+\sqrt{2}\right)}{\sqrt{3}+\sqrt{2}}-\dfrac{\sqrt{6}-\sqrt{5}}{\left(\sqrt{6}-\sqrt{5}\right)\left(\sqrt{6}+\sqrt{5}\right)}\right):\sqrt{\dfrac{5}{2}}\)

\(=\left(\sqrt{5}+\sqrt{6}-\sqrt{6}+\sqrt{5}\right):\dfrac{\sqrt{5}}{\sqrt{2}}\)

\(=2\sqrt{5}.\dfrac{\sqrt{2}}{\sqrt{5}}=2\sqrt{2}\)

a) Ta có: \(\left(\dfrac{\sqrt{15}-\sqrt{20}}{\sqrt{3}-2}+\dfrac{3\sqrt{2}+2\sqrt{3}}{\sqrt{3}+\sqrt{2}}-\dfrac{1}{\sqrt{6}+\sqrt{5}}\right):\sqrt{\dfrac{5}{2}}\)

\(=\left(\sqrt{5}+\sqrt{6}-\sqrt{6}+\sqrt{5}\right):\dfrac{\sqrt{10}}{2}\)

\(=2\sqrt{5}\cdot\dfrac{2}{\sqrt{10}}=2\sqrt{2}\)

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