We have triangle with angle are 45°,45°,90° so in that geometric shape we have following dependents :
[tex]a=s=4[/tex]
[tex] a\sqrt{2} = \sqrt{32} [/tex]
[tex] \sqrt{2}*x=4 \sqrt{2} [/tex]
[tex]x=4[/tex]
That triangle is equilateral
So the correct answer is C
Hope it helps :)
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Have a nice day :)