sapphires2019
sapphires2019 sapphires2019
  • 07-04-2024
  • Mathematics
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Find the value of x. If x is not an integer, then put your answer in simplest radical form.

Find the value of x If x is not an integer then put your answer in simplest radical form class=

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jimthompson5910 jimthompson5910
  • 07-04-2024

Answer:  [tex]2\sqrt{113}[/tex]

Work Shown

[tex]a^2 + b^2 = c^2 \text{ .... Pythagorean Theorem}\\\\c = \sqrt{a^2 + b^2}\\\\\text{x} = \sqrt{14^2 + 16^2}\\\\\text{x} = \sqrt{452}\\\\\text{x} = \sqrt{4*113}\\\\\text{x} = \sqrt{4}*\sqrt{113}\\\\\text{x} = 2\sqrt{113}\\\\[/tex]

I used GeoGebra to confirm the answer is correct.

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