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Pole trójkąta $ABC$ jest równe sumie pól trójkątów $ADC$ i $BCD$, zatem: \[\frac{a\cdot ab}{2}+\frac{ab\cdot ab^2}{2}=\frac{c\cdot cb}{2}.\] -Po skróceniu otrzymujemy: -\[a^2+b^2=c^2.\] +Po skróceniu otrzymujemy $a^2+(ab)^2=c^2$, czyli twierdzenie Pitagorasa dla trójkąta $ADC$. \end{frame} \end{document} \ No newline at end of file