Pythagoras Theorem

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Pythagoras Theorem Year 9

description

Pythagoras Theorem. Year 9. Pythagoras. Discovered something about the sides of a Right Angled Triangle. Longest Side. HYPOTENUSE. A rightangle 90 o. Squares on Sides. 9 + 16 = 25. Area. 5 x 5. = 5 2. Area. 3 x 3. 25cm 2. 5. 3. 9cm 2. = 3 2. Area. 4. 16cm 2. 4 x 4. = 4 2. - PowerPoint PPT Presentation

Transcript of Pythagoras Theorem

Page 1: Pythagoras Theorem

Pythagoras Theorem

Year 9

Page 2: Pythagoras Theorem

Pythagoras

Discovered something about the sides of a Right Angled Triangle

A rightangle90o

Longest Side

HYPOTENUSE

Page 3: Pythagoras Theorem

Squares on Sides

4

3 5

Area

3 x 3

= 329cm2

Area

4 x 4

= 42

16cm2

Area

5 x 5

= 52

25cm2

9 + 16 = 25

Page 4: Pythagoras Theorem

Theorem is…

ac

b

a2 + b2 = c2

Page 5: Pythagoras Theorem

4

3 5

Special Triangle

9cm2

16cm2

25cm2

PYTHAGOREAN TRIPLE

Each Side is a Whole Number in Length

Page 6: Pythagoras Theorem

Example : Calculate Hypotenuse

7 cm

3 cmc cm

72 + 32 = c2

49 + 9 = c2

c2 = 58

c = √58

c= 7.6157….cm

c= 7.6cm


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