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Geometry Pythagoras Theorem
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Pythagoras Theorem
In a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
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Example: A ladder 13 m long reaches a window of a building 5 m above the ground. Determine the distance of the foot of the ladder from the building.
Solution: Suppose that AB is the ladder, B is the window and CB is the building. Then triangle ABC is a right triangle with right angle at C
  AB2 = AC2 + BC2
  132 = AC2 + 52
  AC2 = 169 - 25 = 144 m2
  AC = 144 = 12 m
Hence the foot of the ladder is at a distance 12 m from the building.
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