nnevehim5Duch
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  • 03-07-2016
  • Mathematics
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A triangle has two sides that measure 0.5 meters and 1.5 meters. which could be the measure of the third side?

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Newtion Newtion
  • 03-07-2016
We have the intresting Law of cosines, so we can use it:
[tex]c^2=a^2+b^2-2ab\cos \gamma[/tex]
where gamma is angle between a and b.
[tex]c^2=0,5^2+1,5^2-2*0,5*1,5*\cos \gamma[/tex]
[tex]c^2=2,5-1,5*\cos \gamma[/tex]
if gamma=90 degrees:
[tex]c^2=2,5 \Rightarrow c=0,5[/tex]
[tex]c= \sqrt{2,5-1,5*\cos \gamma}[/tex]
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