1. Applying the Pythagorean Theorem
Teacher Twins©2014

2. Warm Up 1. 2. 3. 4.

3. Warm Up Answers
12.04 m
9.6 in
6.4 cm
10.7 cm

4. Applying the Pythagorean Theorem

5. The base of 1 4 foot ladder is 6 feet from the wall
The base of 1 4 foot ladder is 6 feet from the wall. How high can the ladder reach?
Draw a picture. i
14 ft c
? a
6 ft b

6. Joshua has a rectangular work table
Joshua has a rectangular work table. The sides of the table are 40 inches by 25 inches. What is the measure of the diagonal of the table?
Draw a picture and solve.

7. Pairs Work

8. Name _________________________
Stephen set a 20 ft ladder against his house. The top of the ladder reached the bottom of his window that is 12 ft above the ground. How far way was the ladder from the wall?
The skateboard ramp is balanced on a stack of cement blocks that is 5 ft high. The ramp is 7 ft away from the bottom of the stack of cement blocks. How long is the ramp?
Name ________________________
1. Hannah made a ramp for her grandfather who was in a wheelchair. The ramp was 10 ft long and it was 5 ft away from the porch steps. How high were the porch steps?
2. Nick put a ladder against the tree so he could climb up and rescue his cat. The cat was 12 ft up in the tree. He had the ladder 3 ft away from the base of the tree. How long was the ladder?

9. 3. A television measures 36 in by 24 in. How long is the diagonal?
Name _________________________
3. A television measures 36 in by 24 in. How long is the diagonal?
4. The swimming pool has a diagonal measure of 30 ft and a width of 14 ft. What is the length of the pool?
Name ________________________
3. A computer screen measures 10 in by 12 in. What is the diagonal of the screen?
4. A rectangular garden has a diagonal measure of 45 ft and a length of 38 ft. What is the width of the garden?

10. Closure
Find the measure of the diagonal of a door that measures 6 ft by 4 ft.