anonymous
  • anonymous
Television sets. What does it mean to refer to a 20 -in tv set or a 25-in tv set? Such units refer to the diagonal of the screen. a 35-in tv set also has a width of 28 inches. What is the height of a 35-inch tv ...inches???
Mathematics
katieb
  • katieb
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amistre64
  • amistre64
h = sqrt(35^2 - 28^2)
amistre64
  • amistre64
h = 21
anonymous
  • anonymous
\[h=\sqrt{35^2-28^2}\] \[h=\sqrt{1225-784}\] \[h=\sqrt{441}\] \[h=21\]

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anonymous
  • anonymous
damn i am slow
anonymous
  • anonymous
at any rate i hope it is clear that this all comes from \[a^2+b^2=c^2\] where a and b are the sides and c is the hypotenuse. so you are thinking of the diagonal as the hypotenuse and the sides as 35 and 28
anonymous
  • anonymous
actually i meant you are thinking of the hypotenuse as 35 and one of the sides at 28
anonymous
  • anonymous
so you get \[28^2+h^2=35^2\] and then solve for h
anonymous
  • anonymous
\[h^2=35^2-28^2\] etc
anonymous
  • anonymous
Ok i see what you are saying
anonymous
  • anonymous
good!
anonymous
  • anonymous
if one leg of a triangle is 5 and the hypotenuse is 13 then you know \[5^2+b^2=13^2\]
anonymous
  • anonymous
solving for b gives first \[b^2=13^2-5^2\] and then \[b=\sqrt{13^2-5^2}\]
anonymous
  • anonymous
but if you do this often you just go right to the last step
anonymous
  • anonymous
\[h=28 \text{Tan}\left[\text{ArcCos}\left[\frac{28}{35}\right]\right] \]

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