Question

fie triunghiul ABC cu AB=AC=3rad41 si BC=24 sa se afle lungimea medianei BE ,E apartine AC

Answer 1

$\text{Evident, trebuie sa aplicam teorema medianei:}\\BE^2= \dfrac{2(AB^2+BC^2)-AC^2}{4}\\BE^2=\dfrac{2(369+576)-369}{4}\\BE^2= \dfrac{2\cdot 945-369}{4}\\BE^2= \dfrac{1890-369}{4}\\BE^2=\dfrac{1521}{4}\\\boxed{BE=\dfrac{39}{2}}$