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- 1. 54 3
- 2. 5 4 3In Egypt, Pythagoras found out that they were using measurements with a Right Angled Triangle with sides of 3, 4, and 5 units to build the Pyramids. He decided to investigate this further.
- 3. HypotenusePythagoras started with a 90 degree (L-shaped)Right Triangle. He named the long sloping sidethe “Hypotenuse”.
- 4. 5 4 3Next he added a Square onto each Triangle Side.
- 5. 5 4 3Next he added Grid Lines to measure Areas.
- 6. C2 = 5 x 5 = 25A2 = 4 x 4 = 16 5 4 3 B2 = 3 x 3 = 9 He found that the Areas of the two side squares add up to equal the Area of the long sloping “Hypotenuse” square. Eg. 16 + 9 = 25
- 7. 54 5 13 3 12 X28 10 17 8 6 15Pythagoras rule works on all Right Angled Triangles
- 8. c = “Hypotenuse” Sloping Sidea = Altitude a2 + b2 = c2 b = Bottom Base a2 + b2 = c2a=6 6 10 c = 10 62 + 82 = 102 8 36 + 64 = 100 b=8 100 = 100 This 6,8,10 Right Triangle obeys Pythagoras Rule.
- 9. Pythagoras Rule has been used since the days ofthe Pyramids to the present. Triangular shapes addstrength and rigidity to buildings and bridges.
- 10. Pythagoras Rule is used in TVs and Projectors, as well asfor Phone and Computer screens in the form of 4:3 and16:9 viewing aspect ratios. The size of the screen ismeasured as the Diagonal of the right triangle.
- 11. http://passyworldofmathematics.com/All slides are exclusive Copyright of Passy’s World of Mathematics Visit our site for Free Mathematics PowerPoints

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