The Pythagorean Theorem c a b.

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The Pythagorean Theorem c a b.

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Presentation transcript:

The Pythagorean Theorem c a b

This is a right triangle:

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

The measure of a right angle is 90o

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

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

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

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

and add them together, 3 4 5

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

Is that correct? ? ?

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

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.

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?