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Chapter 7 Review - Pythagorean Theorem and Dista ...

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  • Find the distance between (0, 0) and (28, 12). Round your answer to the nearest tenth.
    30.5 units
  • The side length of a square is 16 cm. What is the length of the diagonal? Round your answer to the nearest tenth if necessary.
    22.6 cm
  • Do the side lengths 27, 35, and 42 form a right triangle?
    No
  • What is this called?
    leg
  • The side lengths of a triangle are 4.8, 9, 10.2. Do these lengths form a right triangle?
    Yes
  • Explain what the Pythagorean Theorem means in words.
    leg squared plus leg squared equals hypotenuse squared (or the sum of the squares of the legs is equal to the square of the hypotenuse)
  • What is this called?
    the distance formula
  • Find the length of the hypotenuse. Round your answer to the nearest tenth if necessary.
    16.3 ft
  • Find the distance between (4, 9) and (-3, 17). Round your answer to the nearest tenth.
    10.6 units
  • Which point is closer to the black point? Red or green?
    red point
  • Find the length of the hypotenuse.
    37.5 ft
  • Find the distance between (-19, 3) and (-5, -7).
    17.2 units
  • The side lengths of a triangle are 2.4, 2.8, and 13.6. Do these lengths form a right triangle?
    No
  • The side lengths of a triangle are 21 inches, 220 inches, and 221 inches. Do these lengths form a right triangle?
    Yes.
  • The hypotenuse of a right triangle is 111 cm and one of the legs is 36 cm. What is the length of the other leg? Round to the nearest tenth if necessary.
    105 cm
  • What is the length of the missing leg? Round your answer to the nearest tenth if necessary.
    13.5 m
  • How long of ladder is needed to reach 14 feet high in a tree to reach a cat if the ladder las to be 5 feet from the base of the tree?
    14.9 feet
  • Find the missing length.
    37.7
  • Find the distance between the two points shown.
    7.1 units
  • The side lengths of a triangle are 15, 18, and 23 inches. Do these lengths form a right triangle?
    No
  • The legs of a right triangle are 11 units and 60 units. What is the length of the hypotenuse? Round to the nearest tenth if necessary.
    61 units
  • What is this side of a right triangle called?
    hypotenuse
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