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Pythagorean triples.

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Presentation on theme: "Pythagorean triples."— Presentation transcript:

1 Pythagorean triples

2

3 A Pythagorean TRIPLE is any three integers which obey Pythagoras theorem.
These are just a few !

4 3,4,5 triangle Luckily for us, we do not need to learn all of them, just two of them and their multiples. The most important one is the 3,4,5

5 And its multiples

6 5,12,13 triangle Another important Pythagorean triple is the 5,12,13 triangle.

7 And its multiples

8 Problems which can come out in non-calculator maths!

9

10 Pythagorean triples in trigonometry !!!
Consider the following right angled triangle : What is sin A ? Since it is a special triangle, then the hyp = 5cm

11 Consider the following triangle :
What is tan A ? Since it is a special triangle, the adj is 12

12 What if the triangle is not drawn?
In a right angled triangle, What is This means that the opp = 4cm and the hyp is 5cm Therefore the adj = 3cm So,


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