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Converse of Pythagorean theorem

Quiz by Sarah Green

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14 questions
Show answers
  • Q1
    Which of the following statements is the converse of the Pythagorean theorem?
    If a triangle is a right triangle, then the sum of the squares of its two legs is equal to the square of its hypotenuse.
    If a triangle is a right triangle, then the lengths of its legs are equal.
    If a triangle has sides of lengths a, b, and c, and a^2 + b^2 = c^2, then the triangle is a right triangle.
    If a triangle is a right triangle, then the length of its hypotenuse is equal to the sum of the lengths of its two legs.
    30s
  • Q2
    Given a triangle with sides of lengths 5, 12, and 13, which of the following statements is true?
    The triangle is a right triangle.
    The triangle is an isosceles triangle.
    The triangle is an acute triangle.
    The triangle is an equilateral triangle.
    30s
  • Q3
    In a triangle with sides of lengths 9, 40, and 41, what conclusion can be drawn?
    The triangle is an isosceles triangle.
    The triangle is an acute triangle.
    The triangle is a right triangle.
    The triangle is an equilateral triangle.
    30s
  • Q4
    If a triangle has sides of lengths 3, 4, and 5, what can be concluded?
    The triangle is an isosceles triangle.
    The triangle is a right triangle.
    The triangle is an equilateral triangle.
    The triangle is an acute triangle.
    30s
  • Q5
    If a triangle has sides of lengths 7, 8, and 15, what conclusion can be drawn?
    The triangle is an isosceles triangle.
    The triangle is not a right triangle.
    The triangle is an acute triangle.
    The triangle is a right triangle.
    30s
  • Q6
    If a triangle has sides of lengths 6, 8, and 10, what can be concluded?
    The triangle is an obtuse triangle.
    The triangle is an equilateral triangle.
    The triangle is a right triangle.
    The triangle is an isosceles triangle.
    30s
  • Q7
    If a triangle has sides of lengths 3, 4, and 6, what can be concluded?
    The triangle is an isosceles triangle.
    The triangle is not a right triangle.
    The triangle is a right triangle.
    The triangle is an acute triangle.
    30s
  • Q8
    If a triangle has sides of lengths 5, 13, and 12, what conclusion can be drawn?
    The triangle is an acute triangle.
    The triangle is an isosceles triangle.
    The triangle is not a right triangle.
    The triangle is a right triangle.
    30s
  • Q9
    In a right triangle, if the lengths of the legs are 7 units and 24 units, what is the length of the hypotenuse?
    c
    25
    29
    30
    30s
  • Q10
    In a right triangle, if the lengths of the legs are 3 units and 4 units, what is the length of the hypotenuse?
    5
    9
    7
    b
    30s
  • Q11
    In a right triangle, the length of one leg is 5 units and the length of the hypotenuse is 13 units. What is the length of the other leg?
    12
    10
    a
    8
    30s
  • Q12
    In a right triangle, if one of the legs is 6 units long and the other leg is 8 units long, what is the length of the hypotenuse?
    d
    12
    11
    10
    30s
  • Q13
    A ladder is leaning against a wall. If the base of the ladder is 5 feet away from the wall and the ladder is 13 feet long, how high does the ladder reach?
    12.8 feet
    14 feet
    b
    12 feet
    30s
  • Q14
    A right triangle has a hypotenuse measuring 10 units and one leg measuring 6 units. What is the length of the other leg?
    8
    a
    9
    12
    30s

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