joel737
joel737 joel737
  • 10-01-2022
  • Mathematics
contestada

Find the length of the third side. If necessary, write in simplistic radical form.

Find the length of the third side If necessary write in simplistic radical form class=

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ruhikaakpannem
ruhikaakpannem ruhikaakpannem
  • 10-01-2022

Answer:

7

Step-by-step explanation:

Just use the Pythagorean Theorem ([tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex])

Let a be the missing side

[tex]a^{2}[/tex]= [tex]8^{2}[/tex]-[tex]\sqrt{15} ^{2}[/tex]

[tex]a^{2}[/tex]= [tex]64[/tex]-[tex]15[/tex]

[tex]a^{2}[/tex]= [tex]49[/tex]

Take the square root of each side

[tex]a[/tex]= [tex]\sqrt{49}[/tex]

[tex]a[/tex]= [tex]7[/tex]

So the missing side is 7.

Hope this helps! :)

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