regstein59 regstein59
  • 24-04-2022
  • Mathematics
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Do the following lengths form a right triangle? (Also how to tell that they do form a right triangle)

Do the following lengths form a right triangle Also how to tell that they do form a right triangle class=

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jimthompson5910 jimthompson5910
  • 24-04-2022

Answer: Yes this is a right triangle

We can determine this by using the converse of the pythagorean theorem.

a = 5, b = 12, c = 13

[tex]a^2 + b^2 = c^2\\\\5^2 + 12^2 = 13^2\\\\25 + 144 = 169\\\\169 = 169 \ \ \checkmark\\\\[/tex]

Since those a,b,c values work in the pythagorean theorem, this proves we have a right triangle.

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