The document demonstrates using the Pythagorean theorem (a2 + b2 = c2) to calculate missing sides of right triangles. It first calculates the hypotenuse of a triangle with legs of 6 in and 8 in, finding it to be 10 in. It then calculates the missing leg of a triangle with legs of 5 in and 4 in, finding it to be 3 in. The document concludes by informing the reader they will watch a video demonstrating a Pythagorean spiral project they have 3 days to complete.

1. Mrs. Meeks

2. hypotenuse
leg
leg

3. a² + b² = c²
x
6 in
8 in

4. x
6 in
8 in
a² + b² = c²
6² + 8² = c²

5. x
6 in
8 in
a² + b² = c²
6² + 8² = c²
36 + 64 = c²

6. x
6 in
8 in
a² + b² = c²
6² + 8² = c²
36 + 64 = c²
100 = c²

7. x
6 in
8 in
a² + b² = c²
6² + 8² = c²
36 + 64 = c²
√100 = √c²

8. x
6 in
a² + b² = c²
6² + 8² = c²
36 + 64 = c²
√100 = √c²
10 = c
8 in
The hypotenuse is 10 in.

9. a
5 in
4 in
a² + b² = c²
a² + 4² = 5²

10. 5 in
a
4 in
a² + b² = c²
a² + 4² = 5²
a² + 16 = 25

11. 5 in
a
4 in
a² + b² = c²
6² + 8² = c²
a² + 16 = 25
-16 -16
a² = 9

12. 5 in
a
4 in
a² + b² = c²
6² + 8² = c²
a² + 16 = 25
-16 -16
√a² = √9

13. 5 in
a
4 in
The missing leg is 3in.
a² + b² = c²
6² + 8² = c²
a² + 16 = 25
-16 -16
√a² = √9
a=3

14. Now we will watch this video
demonstrating the Pythagorean Spiral
project. You will have 3 days to complete
the project. Make sure you read the
directions and rubric carefully!
Click image to go to video