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ajutor!! nshshagbqbahab​

Ajutor Nshshagbqbahab class=

Răspuns :

Răspuns:

60°

Explicație pas cu pas:

AB = 6√2 cm

VA = 12 cm

m(∡(VA ; (ABC))) = m (∡VAC)

AC² = AB²+BC² = (6√2)²+(6√2)² = 72+72 = 144 =>

AC = √144 = 12 cm => AO = 12/2 = 6 cm

cos(∡VAC) = AO/VA = 6/12 = 1/2 =>

m (∡VAC) = 60°

[tex]\it VC=VA=12\ cm;\ \ \ AC=6\sqrt2\cdot\sqrt2=6\cdot2=12\ cm\\ \\ Prin\ urmare,\ \Delta VAC\ -\ echilateral\ \Rightarrow m(\widehat{VAC})=60^o\\ \\ m\[[\widehat{VA,\ (ABC)}]=m(\widehat{VA,\ AO})=m(\widehat{VA,\ AC})=60^o[/tex]