4211823 4211823
  • 20-05-2022
  • Mathematics
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if the legs of a right triangle are 3 and 6, what is the length of the hypotenuse?

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livinqq1
livinqq1 livinqq1
  • 20-05-2022

Answer:

[tex]3\sqrt5[/tex]

Step-by-step explanation:

The pythagorean theorem is [tex]a^2+b^2=c^2[/tex] where c is the hypotenuse.

so, [tex]3^2+6^2=c^2[/tex]

9 + 36 = 45

[tex]\sqrt45=\sqrt{c^2}[/tex]

c = [tex]3\sqrt5[/tex]

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