Chodzi o Twierdzenie Talesa. (w załącznikach rysunek)
a) OA = 2
OD = 8
CD = 3
Oblicz: AB
b) OA = CD = 3
AB = 5
Oblicz : OC
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a)![a)\frac{2}{8-3}=\frac{x}{3} \\ \frac{2}{5}=\frac{x}{3} \\ \\ \\ \\ 5x=15/5 \\ x=3 \\ \\ \\ b) \frac{3}{x}=\frac{5}{3} \\ 5x=9/5 \\ x=\frac{9}{5} \\ x=1 \frac{4}{5} a)\frac{2}{8-3}=\frac{x}{3} \\ \frac{2}{5}=\frac{x}{3} \\ \\ \\ \\ 5x=15/5 \\ x=3 \\ \\ \\ b) \frac{3}{x}=\frac{5}{3} \\ 5x=9/5 \\ x=\frac{9}{5} \\ x=1 \frac{4}{5}](https://tex.z-dn.net/?f=+a%29%5Cfrac%7B2%7D%7B8-3%7D%3D%5Cfrac%7Bx%7D%7B3%7D++%5C%5C+%5Cfrac%7B2%7D%7B5%7D%3D%5Cfrac%7Bx%7D%7B3%7D+%5C%5C+%5C%5C+%5C%5C+%5C%5C+5x%3D15%2F5+%5C%5C+x%3D3+%5C%5C+%5C%5C+%5C%5C+b%29+%5Cfrac%7B3%7D%7Bx%7D%3D%5Cfrac%7B5%7D%7B3%7D+%5C%5C+5x%3D9%2F5+%5C%5C+x%3D%5Cfrac%7B9%7D%7B5%7D+%5C%5C+x%3D1+%5Cfrac%7B4%7D%7B5%7D+)