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Pythagorean Theorem
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The width of a rectangular piece of paper is 8.5 inches, and the diagonal length of the piece of paper is 14 inches. What is the length of this piece of paper in inches?
 
11.1 in.
 
16.4 in.
 
20.5 in
 
13.1 in.
The length of a rectangular art canvas is 36 inches, and the diagonal is 52 inches. What is the width of this frame?
 
37.5 in.
 
63.2 in.
 
53.6 in.
 
48.7 in
A ramp is elevated to a height of 27 inches from the base. The horizontal distance between the lower end of the ramp and the base is 69 inches, as shown in the gure. What is the length of the ramp?
 
74.1 in
 
63.5 in
 
51.8 in
 
48.0 in
Mr. Schooler displayed a photo on his desk. He used a 5 inch rod to hold the picture up right as shown below. What is the total h, height of the photo in inches?
 
8 inches
 
4 inches
 
6 inches
 
10 inches
Mrs. Google displayed a photo on her desk. She used a 17 inch rod to hold the picture up right as shown below. What is the total h, height of the photo in inches?
 
20 inches
 
15 inches
 
25 inches
 
10 inches
Find the Difference between the bases of the two ladders.
 
23 ft.
 
13 ft.
 
36 ft.
 
49 ft.
Find the Difference between the bases of the two ladders.
 
8 ft.
 
15 ft.
 
7 ft.
 
22 ft.
Tyger has a rectangular garden that has a length of 20 meter and a width of 12 meters. Tyger wants to put up a fence from one corner to the other corner diagonally. How many meters of fencing does he need to buy?
 
24 meters
 
16 meters
 
6 meters
 
17 meters
A rectangular picture frame has a diagonal length of 12 inches and a width of 5 inches. How tall is the picture frame?
 
10.9 inches
 
13 inches
 
15 inches
 
9.5 inches
A rectangular piece of paper has a diagonal length of 25 inches and a width of 15 inches. What is the length of the piece of paper?
 
20 in.
 
30 in.
 
25 in.
 
15 in.
The dimensions of a small poster advertising “Pretzel Day” are 11 inches and 17 inches. What is the diagonal length of this poster in inches?
 
20.2 in.
 
13 in.
 
18 in.
 
24.9 in.
Jake made a rectangular picnic table for his backyard. The sides of the table are 12 feet and 4 feet. What is the length of the diagonal of the table?
 
12.6 ft.
 
11.3 ft.
 
4 ft.
 
13.2 ft.
A 9-foot ladder is placed 4 feet from the base of a building. About how high does the ladder reach?
 
8.1 ft.
 
8.6 ft.
 
9.8 ft.
 
7.4 ft
Paul props a ladder against a wall which measures 10 feet. How high up on the wall will the ladder reach, if the foot of the ladder is 5 feet away from the wall?
 
8.7 ft.
 
11.1 ft.
 
3.9 ft.
 
12.6 ft.
A ramp is elevated to a height of 20 inches. The length of the ramp is 40 inches. What is the horizontal distance between the lower end of the ramp and the base?
 
34.6 in.
 
44.7 in.
 
51.7 in.
 
27.4 in.
Rebecca bought an LED television set that is 32 inches long. The diagonal length measures 40 inches. What is the width of the television screen?
 
24 inches
 
51 inches
 
42 inches
 
15 inches
Brenda buys a carpet for her apartment. The diagonal length of the carpet is 8 feet and the width is 5 feet. Find the length of the carpet.
 
6.2 ft
 
9.4 ft
 
3.6 ft
 
14.1 ft
Ashley has a right triangular garden in her backyard. The longest side of the garden measures 17 yards. One of the sides is 10 yards long. Find the length of the other side of the garden.
 
13.7 yards
 
19.7 yards
 
5.2 yards
 
12.8 yards
Ruth develops a blueprint with the help of a triangle. The longest side of the instrument measures 14 inches and one of the sides measures 12 inches. Determine the length of the other side of the instrument.
 
7.2 in.
 
18.4 in.
 
5.4 in.
 
8.6 in.
Mark is on his way home from work. He drives 35 miles due North and then 42 miles due West. Find the shortest distance the diagonal he can cover to reach home early.
 
54.7 miles
 
23.2 miles
 
42.1 miles
 
15.4 miles
Rachel bought a rug for her apartment. The rug is 11 feet long and 9 feet wide. Find the diagonal length of the rug.
 
14.2 feet
 
6.3 feet
 
4.5 feet
 
12.6 feet
A 15 feet tree casts a shadow that is 8 feet long. What is the distance from the tip of the tree to the tip of its shadow?
 
15 ft.
 
5 ft.
 
13 ft.
 
12 ft.
Joey made a sandwich that was 2 inches long and 4 inches high. If he cuts the sandwich in half as shown in the !gure, what would be the diagonal length of the sandwich?
 
4.5 inches
 
3.5 inches
 
2.5 inches
 
7.5 inches
Mr. Richard owns an orchard that has a rectangular fence. The orchard is 36 yards long and 18 yards wide. If he walks across the diagonal length of the orchard, how much distance would he cover?
 
40.2 yards
 
31.2 yards
 
7.3 yards
 
4.24 yards