SaverioP665563 SaverioP665563
  • 25-10-2022
  • Mathematics
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Finish the length of the third side if necessary right in simplest radical form

Finish the length of the third side if necessary right in simplest radical form class=

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ShalimarR674041 ShalimarR674041
  • 25-10-2022

To find the missing leg, we use Pythagorean's Theorem

[tex]c^2=a^2+b^2[/tex]

Where c = 6 and a = 3. Let's use these values to find b-

[tex]\begin{gathered} 6^2=3^2+b^2 \\ b^2=36-9 \\ b=\sqrt[]{27} \\ b=\sqrt[]{9\cdot3} \\ b=3\sqrt[]{3} \end{gathered}[/tex]

Hence, the length of the third side is

[tex]b=3\sqrt[]{3}[/tex]

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