Inparamode2002 Inparamode2002
  • 19-04-2016
  • Mathematics
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Pythagorean theorem: Show work please




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twvogels
twvogels twvogels
  • 19-04-2016
The therorem is: 

[tex]a^{2} + b^{2} = c^{2} [/tex]
or, solving for b:
[tex] b = \sqrt{c^{2}-a^{2}}[/tex]

[tex] b = \sqrt{20^{2}-15^{2}}[/tex]
[tex] b = \sqrt{400-225}[/tex]
[tex] b = \sqrt{175}[/tex]
[tex] b \approx 13.23[/tex]
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apologiabiology
apologiabiology apologiabiology
  • 19-04-2016
so if you have a right triangle with legs legnth a and b and a hypotonuse legnth c, then a^2+b^2=c^2 given in the comments is that a=15 c=20 input and solve 15^2+b^2=20^2 225+b^2=400 subtract 225 from boths ides b^2=175 take square root of both sides b=5√7
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