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  • 07-11-2018
  • Mathematics
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What is the length of one leg of a right triangle if the length of the hypotenuse is 25 units and the length of the other leg is 15 units ?

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jdoe0001 jdoe0001
  • 07-11-2018

[tex]\bf \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=\stackrel{hypotenuse}{25}\\ a=\stackrel{adjacent}{15}\\ b=opposite\\ \end{cases} \\\\\\ \sqrt{25^2-15^2}=b\implies \sqrt{400}=b\implies 20=b[/tex]

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