MN is the geometric mean of a and b. Click
here if you want to see the sketch.1. Recall the Sketch comparing the geometric mean and the arithmetic
mean. and use the pythagorean thereom to prove that
MN is the geometric mean of a and b. Click
here if you want to see the sketch.
Copy the triangle and table. Complete the table:
| 2. | 3. | 4. | 5. | 6. | 7. | 8. | 9. | |
| a | 3 |
? |
5 |
? |
11 | 3n |
? |
6 |
| b | 44 | 8 |
? |
15 |
? |
4n |  |
 |
| c |
? |
10 | 13 | 17 | 61 |
? |
6 |
? |
10. Click here and pick your favorite proof of the Pythagorean Theorem. Copy the proof into your journal and explain why you like that proof.