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Punctul C apartine segmentului AB. Aflati AB:AC, daca AC:BC=3:5​

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Iakabcristina2ask

Răspuns:

A___________C______B

AC/BC = 3/5 => AC = 3BC/5

AC = AB - BC => AB = AC + BC

AB = 3BC/5 + BC

AB = 8BC/5

8BC/5 × 5/3BC = 8/3

Targoviste44ask

[tex]\it \dfrac{AC}{BC}=\dfrac{3}{5} \Rightarrow \dfrac{BC}{AC}=\dfrac{5}{3}\Rightarrow \dfrac{BC+AC}{AC}=\dfrac{5+3}{3} \Rightarrow \dfrac{AB}{AC}=\dfrac{8}{3}[/tex]

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