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What is 10 squared plus b squared equals 22 squared

User Trinchet
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1 Answer

2 votes
I'm pretty sure you are asking for the value of b. Let's actually write it and then solve it:

10^2 + b^2 = 22^2

Solving for b yields:

b = √(22^2-10^2) = √(484-100) = √(384) = 19.59

So, b = 19.59. If you want the answer in simplified radical form, we can also do that:

√(384) = √(16*24) = 4 √(24) = 4 √(4*6) = 8 √(6)

So, b = 8√6 = 19.59
User Ehontz
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