Pythgoras, Year 11 Revsision

2. Write down the first twenty square numbers

3. Write down the first twenty square numbers
1, 4, 9, 16, 25, 36, 49, 64, 81, 10
0, 121,144,169,196,225, 256, 28
9, 314, 351, 400
Can you spot a quick way of working
them out?

4. 1, 4, 9, 16, 25, 36, 49, 64, 81, 10
0, 121,144,169,196,225, 256, 28
9, 314, 351, 400
Can you find two numbers in the list
that add together to make a third
number in the list?

5. 1, 4, 9, 16, 25, 36, 49, 64, 81, 10
0, 121,144,169,196,225, 256, 28
9, 314, 351, 400
Can you find two numbers in the list
that add together to make a third
number in the list?
If you can draw a triangle with sides of
the square root of the three lengths.

6. 1, 4, 9, 16, 25, 36, 49, 64, 81,
100, 121,144,169,196,225, 256,
289, 314, 351, 400
9, 16, 25
36, 64, 100
25, 144, 169
144, 196, 400

7. 1, 4, 9, 16, 25, 36, 49, 64, 81,
100, 121,144,169,196,225, 256,
289, 314, 351, 400
Choose any other three numbers and
draw triangles made from the square
roots.
Can you choose any three numbers
and make a triangle from their square
roots?

8. Pythagoras of Samos
b. about 570 – d. about 495

9. In any right triangle, the area of
the square on the hypotenuse is
equal to the sum of the areas of
the squares on the other two
sides

10. c2 = a2 + b 2

11. Longest side squared equals the
other two sides squared and
added together