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LEARNING PYTHAGORAS THEOREM

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Page 1: LEARNING PYTHAGORAS THEOREM. 1. PYTHAGORAS THEOREM ‘The Pythagorean theorem is named after the Greek mathematician Pythagoras, who by tradition is credited

LEARNIN

G PYT

HAGORAS

THEOREM

Page 2: LEARNING PYTHAGORAS THEOREM. 1. PYTHAGORAS THEOREM ‘The Pythagorean theorem is named after the Greek mathematician Pythagoras, who by tradition is credited

1. PYTHAGORAS THEOREM

‘The Pythagorean theorem is named after the Greek mathematician Pythagoras, who by tradition is credited with its discovery and proof, although it is often argued that knowledge of the theorem predates him. There is evidence that Babylonian mathematicians understood the formula, although there is little surviving evidence

that they fitted it into a mathematical framework.’

http://en.wikipedia.org/wiki/Pythagorean_theorem

Page 3: LEARNING PYTHAGORAS THEOREM. 1. PYTHAGORAS THEOREM ‘The Pythagorean theorem is named after the Greek mathematician Pythagoras, who by tradition is credited

2. ALGEBRAIC EQUATIONS

Pythagoras is the use of a simple algebraic expression.

Page 4: LEARNING PYTHAGORAS THEOREM. 1. PYTHAGORAS THEOREM ‘The Pythagorean theorem is named after the Greek mathematician Pythagoras, who by tradition is credited

3. PYTHAGOREAN EQUATION

The number of the side times itself

a2+b2=c2

The sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c)

Each letter (variable)

represents a side

Page 5: LEARNING PYTHAGORAS THEOREM. 1. PYTHAGORAS THEOREM ‘The Pythagorean theorem is named after the Greek mathematician Pythagoras, who by tradition is credited

4. RIGHT ANGLED TRIANGLE

This equation can only be used on a right angled triangle

In a right angled triangle:the square of the hypotenuse is equal

tothe sum of the squares of the other

two sides.

Page 6: LEARNING PYTHAGORAS THEOREM. 1. PYTHAGORAS THEOREM ‘The Pythagorean theorem is named after the Greek mathematician Pythagoras, who by tradition is credited

5. BREAKING DOWN THE EQUATION

a2 = one length of the triangle b2 = another length of the

trianglec2 = identified as the

hypotenuse

Page 7: LEARNING PYTHAGORAS THEOREM. 1. PYTHAGORAS THEOREM ‘The Pythagorean theorem is named after the Greek mathematician Pythagoras, who by tradition is credited

6. SIDES OF A RIGHT-ANGLED TRIANGLE

HYPOTENUSE: The opposite side of the right angle in a right angled triangle, which is also the longest side.

ADJACENT: Either of two sides having a common side and a common vertex.

OPPOSITE: When two lines intersect, four angles are formed. The angles that are directly opposite to each other, can be vertically opposite angles and that are non-adjacent are the opposite angles.

Page 8: LEARNING PYTHAGORAS THEOREM. 1. PYTHAGORAS THEOREM ‘The Pythagorean theorem is named after the Greek mathematician Pythagoras, who by tradition is credited

7. PUTTING THE EQUATION INTO PRACTICE

a2+b2=c2

5

x

4

72 + 42 = c2

7 x 7 = 49 4 x 4 = 16

49 + 16 = c2

Once the numbers have been squared, add a and b

49+16 = 65 65 = c2

Find the square root of both sides of the equation

Square root of 65 = 8.06

Therefore c = 8.06

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