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  • 22-01-2021
  • Mathematics
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In a right-angled triangle, the hypotenuse is 113 and a leg is 112.
Determine the length of the other leg.

Respuesta :

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  • 22-01-2021

Answer: 15

Step-by-step explanation: Use the formula: [tex]a^{2}+b^{2}=c^{2}[/tex]

Remember [tex]c^{2}[/tex] should always be the hypotenuse or the longest side.

[tex]112^{2}+b^{2}=113^{2}[/tex] ---> evaluate the exponents

[tex]12544+b^{2}=12769[/tex] ----> subtract 12544 to the other side

[tex]b^{2}=225[/tex] ---> take the square root of both sides

[tex]b=15[/tex]

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