Răspuns:
a) l = 12 cm
b) l = 5√2 cm
c) l = 12√6 cm
d) l = 9√5 cm
Explicație pas cu pas:
d = l√2 , unde d = diagonala, iar l = latura.
[tex]d = l\sqrt{2} = > l = \frac{d}{\sqrt{2} }[/tex]
a)
[tex]l = \frac{12\sqrt{2} }{\sqrt{2} } = 12 cm[/tex]
b)
[tex]l = \frac{10}{\sqrt{2} } = \frac{10\sqrt{2} }{2} = 5\sqrt{2} cm[/tex]
c)
[tex]l = \frac{24\sqrt{3} }{\sqrt{2} } = \frac{24*\sqrt{2} *\sqrt{3} }{2} = 12\sqrt{6} cm[/tex]
d)
[tex]l = \frac{9\sqrt{10} }{\sqrt{2} } = 9*\sqrt{\frac{10}{2} } = 9\sqrt{5} cm[/tex]
