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  • 07-03-2022
  • Mathematics
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Find the length of the hypotenuse

Find the length of the hypotenuse class=

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BasketballEinstein
BasketballEinstein BasketballEinstein
  • 09-03-2022

Answer:

b. [tex]\displaystyle 6[/tex]

Step-by-step explanation:

In a 45°-45°-90° triangle, both legs are congruent [tex]\displaystyle [x],[/tex]whereas the hypotenuse is represented by [tex]\displaystyle x\sqrt{2}.[/tex] So, evaluate:

[tex]\displaystyle hypotenuse \hookleftarrow x\sqrt{2} \\ \\ \boxed{6} = 3\sqrt{2}[\sqrt{2}][/tex]

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