Question

Answer 1

\(1,\)

\(a,\) Áp dụng HTL: \(EF^2=FK\cdot FQ\Leftrightarrow FQ=\dfrac{EF^2}{FK}=\dfrac{36}{3,6}=10\left(cm\right)\)

\(b,\) Áp dụng HTL: \(EK^2=QK\cdot KF=\left(10-3,6\right)\cdot3,6=23,04\Leftrightarrow EK=4,8\left(cm\right)\)

\(2,\)

Áp dụng HTL:

\(\left\{{}\begin{matrix}IK^2=KM\cdot HK=25\left(25+9\right)=850\\IM^2=KM\cdot MH=225\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}IK=5\sqrt{34}\left(cm\right)\\IM=15\left(cm\right)\end{matrix}\right.\)

\(3,\)

Áp dụng HTL

\(CD^2=AD\cdot BD\Leftrightarrow BD=\dfrac{CD^2}{AD}\approx41,3\left(m\right)\\ \Leftrightarrow AB=BD-AD=41,3-7=34,3\left(m\right)\)