Răspuns: [tex]\color{blue}\Large \boxed{\bf AM = 3~cm}[/tex]
Explicație pas cu pas:
AB = AC = 3√2 cm
m (∡BAC) = 90°
BC - ipotenuza
Aplicam teorema lui Pitagora si vom afla BC
BC² = AB² + AC²
BC² = (3√2)² + (3√2)²
BC² = 18 + 18
BC² = 36
BC = √36
BC = 6 cm
[tex]\color{red}\large \boxed{\bf AM = \dfrac{Cateta_{1}\cdot Cateta_{2}}{Ipotenuza} }[/tex]
[tex]\it~~[/tex]
[tex]\large\bf AM = \dfrac{AB\cdot AC}{BC} = \dfrac{3\sqrt{2}\cdot 3\sqrt{2}}{6}= \dfrac{9\cdot 2}{6}=\dfrac{18}{6}\implies \boxed{\bf AM = 3~cm}[/tex]
==pav38==
