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Pythagorean Theorem

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  • 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?
    51.7 in.
    27.4 in.
    34.6 in.
    44.7 in.
  • The length of a rectangular art canvas is 36 inches, and the diagonal is 52 inches. What is the width of this frame?
    63.2 in.
    37.5 in.
    48.7 in
    53.6 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?
    13.2 ft.
    4 ft.
    11.3 ft.
    12.6 ft.
  • 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?
    12 ft.
    15 ft.
    13 ft.
    5 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.
    5.2 yards
    19.7 yards
    13.7 yards
    12.8 yards
  • 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.
    15.4 miles
    42.1 miles
    54.7 miles
    23.2 miles
  • A rectangular picture frame has a diagonal length of 12 inches and a width of 5 inches. How tall is the picture frame?
    15 inches
    13 inches
    9.5 inches
    10.9 inches
  • A 9-foot ladder is placed 4 feet from the base of a building. About how high does the ladder reach?
    8.6 ft.
    7.4 ft
    9.8 ft.
    8.1 ft.
  • Find the Difference between the bases of the two ladders.
    15 ft.
    8 ft.
    22 ft.
    7 ft.
  • 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.
    5.4 in.
    7.2 in.
    8.6 in.
    18.4 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.
    14.1 ft
    9.4 ft
    3.6 ft
    6.2 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?
    16 meters
    17 meters
    6 meters
    24 meters
  • 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.
    25 in.
    30 in.
    15 in.
  • 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?
    7.3 yards
    31.2 yards
    40.2 yards
    4.24 yards
  • 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?
    2.5 inches
    4.5 inches
    7.5 inches
    3.5 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?
    15 inches
    10 inches
    20 inches
    25 inches
  • 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?
    11.1 ft.
    12.6 ft.
    8.7 ft.
    3.9 ft.
  • 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?
    4 inches
    6 inches
    8 inches
    10 inches
  • Find the Difference between the bases of the two ladders.
    49 ft.
    23 ft.
    13 ft.
    36 ft.
  • 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?
    48.0 in
    74.1 in
    63.5 in
    51.8 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?
    13 in.
    18 in.
    24.9 in.
    20.2 in.
  • 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?
    16.4 in.
    13.1 in.
    11.1 in.
    20.5 in
  • Rachel bought a rug for her apartment. The rug is 11 feet long and 9 feet wide. Find the diagonal length of the rug.
    6.3 feet
    4.5 feet
    14.2 feet
    12.6 feet
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