hmarie06131986oxp4aa
hmarie06131986oxp4aa hmarie06131986oxp4aa
  • 02-05-2018
  • Mathematics
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What is the value of x?
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What is the value of x Enter your answer in the box x class=

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joc16 joc16
  • 02-05-2018
24^2 + 7^2 = 25^2 x = 25
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zevms1 zevms1
  • 02-05-2018
Use Pythagorean Theorem:

[tex] a^{2} + b^{2} = c^{2} [/tex]
[tex] 7^{2} + 24^{2} = c^{2} [/tex]
[tex] 7^{2} + 24^{2} = c^{2} [/tex]
[tex] 49 + 576 = c^{2} [/tex]
[tex] 625 = c^{2} [/tex]
[tex] 25 = c [/tex]

(You could also memorize that 7-24-25 is one of the "integer triples" that satisfies the Pythagorean Theorem. Other common ones are 3-4-5 and 5-12-13.)
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