Question

Un con circular drept are R=6 si G=10
Aflati
a)inaltimea conului
b)aria triunghi VEF​

Answer 1

a)

$\it OF=R=6cm,\ \ \ VF=G=10cm,\ \ \ VO=h\\ \\ \Delta VOF-dreptunghic,\ \widehat O=90^o,\ \stackrel{T.P.}{\Longrightarrow}\ VO^2=VF^2-OF^2=10^2-6^2=\\ \\ =100-36=64=8^2 \Rightarrow VO=h=8\ cm$

b)

$\it \mathcal{A}_{VEF}=\dfrac{EF\cdot VO}{2}=\dfrac{12\cdot8}{2}=6\cdot8=48\ cm^2$