Search

7.11: Вписані подібні трикутники
https://ukrayinska.libretexts.org/%D0%94%D0%BE%D0%BA%D0%BE%D0%BB%D0%B5%D0%B4%D0%B6%D0%BD%D0%B0_%D0%BE%D1%81%D0%B2%D1%96%D1%82%D0%B0/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0/%D0%93%D0%B5%D0%BE%D0%BC%D0%B5%D1%82%D1%80%D1%96%D1%8F/07%3A_%D0%9F%D0%BE%D0%B4%D1%96%D0%B1%D0%BD%D1%96%D1%81%D1%82%D1%8C/7.11%3A_%D0%92%D0%BF%D0%B8%D1%81%D0%B0%D0%BD%D1%96_%D0%BF%D0%BE%D0%B4%D1%96%D0%B1%D0%BD%D1%96_%D1%82%D1%80%D0%B8%D0%BA%D1%83%D1%82%D0%BD%D0%B8%D0%BA%D0%B8
\(\begin{aligned} \dfrac{\text{ shorter leg in }\Delta SVT}{\text{ shorter leg in }\Delta RST}&=\dfrac{\text{ hypotenuse in }\Delta SVT}{ \text{ hypotenuse in }\Delta RST} \\ \dfrac{4}{x}&=\dfrac{x}{2... $\begin{aligned} \dfrac{\text{ shorter leg in }\Delta SVT}{\text{ shorter leg in }\Delta RST}&=\dfrac{\text{ hypotenuse in }\Delta SVT}{ \text{ hypotenuse in }\Delta RST} \\ \dfrac{4}{x}&=\dfrac{x}{20} \\ x^2&=80 \\ x&=\sqrt{80}=4\sqrt{5} \end{aligned}$