halobjsiscop99ff4
halobjsiscop99ff4 halobjsiscop99ff4
  • 25-05-2018
  • Mathematics
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What is 10 squared plus b squared equals 22 squared

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TheAakash
TheAakash TheAakash
  • 25-05-2018
I'm pretty sure you are asking for the value of b. Let's actually write it and then solve it:
[tex]10^2 + b^2 = 22^2[/tex]

Solving for b yields:
[tex]b = \sqrt{22^2-10^2} = \sqrt{484-100} = \sqrt{384} = 19.59[/tex]

So, b = 19.59. If you want the answer in simplified radical form, we can also do that:
[tex] \sqrt{384} = \sqrt{16*24} = 4 \sqrt{24} = 4 \sqrt{4*6} = 8 \sqrt{6} [/tex]

So, b = 8√6 = 19.59
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