Saturday, 7 December 2013

Hypotenuse

What is Hypotenuse?
  •  Hypotenuse is the longest side of the triangle.
  •  Hypotenuse is the side opposite the right angle in a right angled triangle. 


Determine the Hypotenuse

From this figure, we can see that c is the side opposite right angle.

So,  C = HYPOTENUSE 



Calculate the Hypotenuse


Look at the triangle below.

We want to find the length of the hypotenuse (h).


 Pythagoras' Theorem tells us:

 The square of the hypotenuse is equal to the sum of the squares of the two shorter sides.
In this case, this means that is equal to 5² + 12².


So the length of the hypotenuse (h) can be worked out as follows:
h² = 5² + 12²    ( work out the squares of the two shorter side )


h² = 25 + 144   (add the squares of the two shorter sides together )



h² = 169           ( square root both sides to find the value of h)


h  = 13

We can now see that the length of the hypotenuse (h) is 13m.
 


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