Geometry: Pythagorean Triples and Triangles
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Questions and Answers

Which set of numbers represents a Pythagorean triple?

  • 4, 5, 6
  • 5, 12, 13 (correct)
  • 6, 8, 10 (correct)
  • 8, 15, 17
  • Which of the following triples is NOT a commonly known Pythagorean triple?

  • 7, 24, 25
  • 8, 15, 17 (correct)
  • 10, 30, 50
  • 3, 4, 5
  • If you have a Pythagorean triple of 3, 4, 5, what is the hypotenuse?

  • 6
  • 5 (correct)
  • 4
  • 3
  • Which of the following sets can be derived by dilating a Pythagorean triple?

    <p>10, 30, 50</p> Signup and view all the answers

    Which of these options lists only whole numbers that can form a right triangle?

    <p>6, 10, 15</p> Signup and view all the answers

    What is the length of the hypotenuse in a 45°-45°-90° triangle if each leg measures $x$?

    <p>$x ext{√}2$</p> Signup and view all the answers

    If the hypotenuse of a 45°-45°-90° triangle is $12 ext{√}2$, what is the length of each leg?

    <p>$12$</p> Signup and view all the answers

    In a 45°-45°-90° triangle, if one leg is $8$, what is the length of the other leg?

    <p>$8$</p> Signup and view all the answers

    What operation is used to find the hypotenuse from the leg length in a 45°-45°-90° triangle?

    <p>Multiply by $√2$</p> Signup and view all the answers

    If the length of each leg in a 45°-45°-90° triangle is $5 ext{√}2$, what is the length of the hypotenuse?

    <p>$10$</p> Signup and view all the answers

    What is the hypotenuse if the short leg of a 30°-60°-90° triangle is 5?

    <p>10</p> Signup and view all the answers

    If the long leg of a 30°-60°-90° triangle is 12, what is the length of the short leg?

    <p>4 adical{3}</p> Signup and view all the answers

    What is the formula to find the long leg if the short leg is known?

    <p>Multiply the short leg by $ adical{3}$</p> Signup and view all the answers

    Given the hypotenuse of 10, what would the length of the long leg be in a 30°-60°-90° triangle?

    <p>10 adical{3}/2</p> Signup and view all the answers

    What is the short leg if the hypotenuse of a 30°-60°-90° triangle is 14?

    <p>7</p> Signup and view all the answers

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