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Найди подобные треугольники на рисунке, если известно, что \(CD \parallel AK\) .

Запиши пропорции, начинающиеся с отношения:

1. \(\dfrac{BC}{BA}\) ;

2. \(\dfrac{AK}{CD}\) .

Ответ:

1.                                  \(\raisebox{-1.1em}{\) \(}\kern{1em}\)  \(\raisebox{-0.3em}{\)BC \(}\)  \(\raisebox{-0.8em}{\)\mathllap{\underline{\kern{2em}}}\(}\)  \(\raisebox{-1.1em}{\)\,= \kern{0.5em}\(}\)  \(\raisebox{-0.3em}{\)\kern{1.1em}CD \kern{1em}\(}\)  \(\raisebox{-0.8em}{\)\mathllap{\underline{\kern{4em}}}\(}\)  \(\raisebox{-1.1em}{\)\,= \kern{0.8em}\(}\) [ ] \(\raisebox{-0.8em}{\)\mathllap{\underline{\kern{4.0em}}};\(}\)  \(\newline\)  \(\kern{1.8em}BA \kern{2.0em}\) [ ] \(\kern{1.4em}\) [ ]
   

2.                                  \(\raisebox{-1.1em}{\) \(}\kern{1em}\)  \(\raisebox{-0.3em}{\)AK \(}\)  \(\raisebox{-0.8em}{\)\mathllap{\underline{\kern{2em}}}\(}\)  \(\raisebox{-1.1em}{\)\,= \kern{0.5em}\(}\)  \(\raisebox{-0.3em}{\)\kern{1.1em}BK \kern{1em}\(}\)  \(\raisebox{-0.8em}{\)\mathllap{\underline{\kern{4em}}}\(}\)  \(\raisebox{-1.1em}{\)\,= \kern{0.8em}\(}\) [ ] \(\raisebox{-0.8em}{\)\mathllap{\underline{\kern{4.0em}}}.\(}\)  \(\newline\)  \(\kern{1.8em}CD \kern{2.0em}\) [ ] \(\kern{1.4em}\) [ ]