Răspuns :
Răspuns:
23.Fie c lungimea unei catete=. >si cealalta cateta are lungimea c
Aplici Pitagora
c²+c²=(8√3)²
2c²=64*3║:2
c²=32*3
c=√32*3
c=√16*2*3
c=4√6
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24.
cos <B=AB/BC
0,8=AB/10=>
AB=0,8*10
AB=8cm
Aplici pitagora si aflii AC
BC²=AB²+Ac²
10²=8²+AC²
100=64+AC²
AC=√(100-64)
AC=√36
AC=6
TGC=AB/AC=8/6=4/3
Explicație pas cu pas:
23.
[tex]\it (c,\ c,\ c\sqrt2) - model\ pentru\ \Delta \ dreptunghic\ isoscel.\\ \\ c\sqrt2=8\sqrt3=4\cdot2\cdot\sqrt3=4\sqrt2\cdot\sqrt2\cdot\sqrt3=4\sqrt6\cdot\sqrt2 \Rightarrow c=4\sqrt6\ cm[/tex]
24.
[tex]\it cosB=0,8 \Rightarrow \dfrac{AB}{BC}=0,8 \Rightarrow \dfrac{AB}{10}=\dfrac{8}{10} \Rightarrow AB=8\ cm\\ \\ (6,\ 8,\ 10)\ -\ triplet\ \ pitagoreic\ \Rightarrow AC=6\ cm\\ \\ tgC=\dfrac{AB}{AC}=\dfrac{\ \ 8^{(2}}{6}=\dfrac{4}{3}.[/tex]