The document discusses right triangles and the Pythagorean theorem. It asks if certain combinations of sides can form right triangles, and explains that only some combinations will work. It then defines the Pythagorean relationship, which states that the sum of the squares of the sides of the two short legs of a right triangle equals the square of the hypotenuse.

1. December 10, 2009
Right Triangles

2. December 10, 2009
Can you make a right triangle with sides
6 units, 6 units and 12 units?

3. December 10, 2009
4, 5 and 12? 6, 7 and 12?

4. December 10, 2009
Only some combinations of side measures
will produce right triangles.

5. December 10, 2009

6. December 10, 2009
Longer
Short Leg 2 2 Hypotenuse
Leg
(a) a b (c) c2
(b)

7. December 10, 2009
Pythagorean Relationship
· the relationship between the side measures of a right
triangle.
· the sum of the areas of the squares attached to the
legs of a right triangle equals the area of the square
attached to the hypotenuse.
· a 2 + b 2 = c2