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The Pythagorean Theorem c a b.

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Presentation on theme: "The Pythagorean Theorem c a b."— Presentation transcript:

1 The Pythagorean Theorem c a b

2 This is a right triangle:

3 We call it a right triangle because it contains a right angle.

4 The measure of a right angle is 90o

5 The little square in a triangle tells you it is a right angle.

6 About 2,500 years ago, a Greek mathematician named Pythagorus discovered a special relationship between the sides of right triangles.

7 Pythagorus realized that if you have a right triangle,
3 4 5

8 and you square the lengths of the two sides that make up the right angle,
3 4 5

9 and add them together, 3 4 5

10 you get the same number you would get by squaring the other side.
3 4 5

11 Is that correct? ? ?

12 It is. And it is true for any right triangle.
8 6 10

13 Question #1 Are the Numbers 11,12 and 5 form a Pythagorean Triplet?
Solution By Pythagorean theorem, The numbers 11,12 and 5 does not form a Pythagorean Triplet.

14 Try These.. Check whether the following can be the sides of a right angled triangle AB = 12 cm, BC = 14 cm, AC = 15cm. Are the numbers 5, 6 and 7 form a Pythagorean Triplet?


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