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Pythagorean Theorem

  •  English    24     Public
    Students will use Pythagorean theorem to solve problems
  •   Study   Slideshow
  • 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
    4.24 yards
    40.2 yards
  •  10
  • 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
    2.5 inches
    3.5 inches
    7.5 inches
  •  10
  • 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?
    13 ft.
    5 ft.
    12 ft.
    15 ft.
  •  10
  • 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
    4.5 feet
    6.3 feet
    12.6 feet
  •  10
  • 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
    15.4 miles
    42.1 miles
    23.2 miles
  •  10
  • 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.
    5.4 in.
    8.6 in.
    18.4 in.
  •  10
  • 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.
    12.8 yards
    5.2 yards
    19.7 yards
    13.7 yards
  •  10
  • 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
    3.6 ft
    6.2 ft
    9.4 ft
  •  10
  • 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?
    51 inches
    15 inches
    24 inches
    42 inches
  •  10
  • 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.
    51.7 in.
    44.7 in.
    27.4 in.
  •  10
  • 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.
    12.6 ft.
    3.9 ft.
  •  10
  • A 9-foot ladder is placed 4 feet from the base of a building. About how high does the ladder reach?
    8.6 ft.
    8.1 ft.
    9.8 ft.
    7.4 ft
  •  15
  • 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.
    4 ft.
    13.2 ft.
    11.3 ft.
  •  15
  • 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?
    24.9 in.
    13 in.
    18 in.
    20.2 in.
  •  15
  • 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.
    15 in.
    30 in.
  •  15
  • A rectangular picture frame has a diagonal length of 12 inches and a width of 5 inches. How tall is the picture frame?
    13 inches
    9.5 inches
    10.9 inches
    15 inches
  •  15