Hi there!
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I believe your answer is:
[tex]B)\text{ } x=8[/tex]
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Here’s why:
- We are finding the value for the side of a right triangle. This requires us to use the Pythagorean Theorem.
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[tex]\boxed{\text{Pythagorean Theorem}}\\\\a^2 + b^2 = c^2\\\\\text{'c' is the hypotenuse, 'a' and 'b' are the legs.}[/tex]
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[tex]\boxed{\text{Solving for 'x' with an equation based off the theorem:}}\\\\6^2 + x^2 = 10^2\\-----------\\\rightarrow36 + x^2 = 100\\\\\rightarrow 36 - 36 + x^2 = 100 - 36\\\\\rightarrow x^2 = 64\\\\\rightarrow \sqrt{x^2}=\sqrt{64}\\\\\rightarrow \boxed{x = 8}[/tex]
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[tex]\text{Option B should be correct.}[/tex]
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Hope this helps you. I apologize if it’s incorrect.
