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  • 16-04-2022
  • Mathematics
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Use the Pythagorean theorem to find the value of b²

Use the Pythagorean theorem to find the value of b class=

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linandrew41
linandrew41 linandrew41
  • 16-04-2022

So what is the Pythagorean Theorem:

  ⇒ it states the sum of both leg's lengths squared is equal to

      ⇒  hypotenuse's length squared

  (look at the image attached for a better explanation)

To find out [tex]b^2[/tex], let's look to the Pythagorean equation to see what we are missing:

      [tex]a^2 + b^2 = c^2\\(10^2) + b^2 = 325\\b^2 = 325 - 10^2\\b^2 = 325 - 100 = 225\\b^2 = 225[/tex]

  • a = 10 ⇒ [tex]a^2[/tex] = 100
  • [tex]c^2 = 325[/tex]

So b^2 = 225 ⇒ Choice B

Hope that helps!

     

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