Question

As dori o explicație mai in detalii va rog! ​

Answer 1

$\it AD - median\breve a \Rightarrow CD=DB=10:2=5\ cm\\ \\ \Delta ABC-isoscel,\ AB=AC,\ \Rightarrow AD=median\breve a\ \d si\ \hat\imat n\breve al\c{\it t}ime \Rightarrow AD\perp BC\\ \\ \Delta DAC- dreptunghic,\ \widehat{D}\ =90^o,\ \stackrel{T.P.}{\Longrightarrow}\ AD^2=AC^2-CD^2 \Rightarrow \\ \\ \Rightarrow AD^2=13^2-5^2=169-25=144=12^2 \Rightarrow AD=12\ cm$

$\it Punctul\ G\ se\ afl\breve a\ situat\ pe \ fiecare\ median\breve a,\ \ la\ \dfrac{1}{3}\ de\ baz\breve a\ \d si\ \dfrac{2}{3}\ de\ v\hat arf\ .\\ \\ GD=\dfrac{1}{3}\cdot AD=\dfrac{1}{3}\cdot12=\dfrac{12}{3}=4\ cm\\ \\ \\ R\breve aspunsul\ corect\ este\ b)\ 4\ cm$