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Pythagorean theorem

Quiz by Michelle

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17 questions
Show answers
  • Q1
    What does the Pythagorean theorem state?
    The product of the squares of the two legs of a right triangle equals the square of the hypotenuse.
    The product of the squares of the two legs of an isosceles triangle equals the square of the hypotenuse.
    The sum of the squares of the two legs of an isosceles triangle equals the square of the hypotenuse.
    The sum of the squares of the two legs of a right triangle equals the square of the hypotenuse.
    30s
  • Q2
    What is the formula for the Pythagorean theorem?
    a^2 + b^2 = c^2
    ab = c^2
    2a + 2b = c
    a + b = c
    30s
  • Q3
    What is the hypotenuse of a right triangle if the legs are 3 and 4?
    8
    6
    5
    7
    30s
  • Q4
    What is the length of one leg of a right triangle if the hypotenuse is 10 and the other leg is 8?
    6
    9
    7
    11
    30s
  • Q5
    What type of triangle always satisfies the Pythagorean theorem?
    Scalene triangle
    Equilateral triangle
    Isosceles triangle
    Right triangle
    30s
  • Q6
    What is the longest side of a right triangle called?
    Hypotenuse
    Leg
    Adjacent
    Opposite
    30s
  • Q7
    What does 'a' represent in the Pythagorean Theorem?
    one leg of the triangle
    the hypotenuse
    the base of the triangle
    the height of the triangle
    30s
  • Q8
    What does 'b' represent in the Pythagorean Theorem?
    the base of the triangle
    the height of the triangle
    the hypotenuse
    the other leg of the triangle
    30s
  • Q9
    What does 'c' represent in the Pythagorean Theorem?
    the hypotenuse of the triangle
    the sum of 'a' and 'b'
    the height of the triangle
    the base of the triangle
    30s
  • Q10
    A ladder is leaning against a wall. The bottom of the ladder is 6 feet from the wall. The ladder is 10 feet long. How far up the wall does the ladder reach?
    6
    8
    4
    10
    30s
  • Q11
    A ramp is needed to move a cart up onto a loading dock. The loading dock is 3 feet higher than the ground level. The ramp needs to be 5 feet long. How long will the ramp need to be if it is placed at a 30-degree angle?
    5
    4
    7
    6
    30s
  • Q12
    A triangular garden has sides 20, 25, and 15 feet. What is the length of the shortest distance from one corner of the garden to the opposite side?
    15
    17
    20
    12
    30s
  • Q13
    A basketball player throws a ball from the free-throw line. The ball travels 12 feet and goes through the hoop 10 feet above the ground. What is the distance between the player and the hoop?
    10
    14
    16
    12
    30s
  • Q14
    A right triangle has legs of length 6 and 8. What is the length of the hypotenuse?
    14
    16
    12
    10
    30s
  • Q15
    A rope is tied to two poles that are both 5 feet tall. The rope is 8 feet long. What is the shortest distance between the two poles?
    3
    6
    4
    5
    30s

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