Question

The whole numbers 3,4,and 5 are called Pythagorean triples because they satisfy the Pythagorean Theorem. Complete the graphic organizer shown to list 4 additional sets of Pythagorean triples.

Answer 1

Blanks: 8 (2nd row), 15 (3rd row), 12 (4th row), 8 (last row)

Explanation:

Pythagorean Theorem: a² + b²= c²

1st row example:

1. 36 (6²) + b² = 100 (10²)
2. 100 - 36 = 64
3. b² = 64
4. 
   `\sqrt64` = b
5. 8 = b

↑ Same with the other rows!

Answer 2

since

`{a}^(2) + {b }^(2) = {c}^(2)`