Pythagoras Theorem

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Pythagoras Theorem

a2 + b2 = c2

(http://www.bbc.co.uk/staticarchive/462b0a5fe1a3c5591e73aa7e33e9032c6b228a49.gif) Hypotenues = Longest side                                                                             To find the hypotenuse, add the squares of the other sides, then take the square root.            

To find a shorter side, subtract the squares of the other sides, then take the square root.             

If you know two sides of a right-angled triangle, you can find the third like this:

  1. square (multiply by itself) the lengths you know
  2. add or subtract them
  3. find the square root
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Sin, Cos and Tan

In any right angled triangle, for any angle:

The sine of the angle = the length of the opposite side
                                       the length of the hypotenuse

The cosine of the angle = the length of the adjacent side
                                           the length of the hypotenuse

The tangent of the angle = the length of the opposite side
                                           the length of the adjacent side

So in shorthand notation:
sin = o/h   cos = a/h   tan = o/a
Often remembered by: soh cah toa

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