laurenjones laurenjones
  • 01-07-2018
  • Mathematics
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the legs of a right triangle have lengths of 4 and 5 units. what is the length of the hypotenuse

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afrazi01p8qv5j
afrazi01p8qv5j afrazi01p8qv5j
  • 01-07-2018
This question can be solved using the Pythagorean theorem. [tex]a^2 + b^2 = c^2[/tex] where a and b are the legs of the triangle and c is the hypotenuse.

[tex]4^2 + 5^2 = c^2[/tex]
[tex]16 + 25 = c^2[/tex]
[tex]41 = c^2[/tex]
[tex]\sqrt{41} = c[/tex]
So, c is approximately 6.403.
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