45-45-90 Triangles and Squares TUESDAY 3-17-20
10th - 11th grade
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Mathematics
9 minutes ago
shadhickman42
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25 QuestionsShow answers
  • Question 1
    120 seconds
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    Q. What is the length of y in this picture?
    answer choices
    45
    5√2
    90
    5
  • Question 2
    120 seconds
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    Q. What is the length of y in this 45-45-90 triangle?
    answer choices
    8√2
    4√2
    4
    8
  • Question 3
    120 seconds
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    Q. What is the length of x in this 45-45-90 triangle?
    answer choices
    4√2
    4
    8
    4√3
  • Question 4
    120 seconds
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    Q. Find the value of y.
    answer choices
    11√2
    11
    22
    (11√2)/2
  • Question 5
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    Q. What is the value of x?
    answer choices
    2
    18
    2√9
    9√2
  • Question 6
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    Q. Find the missing side lengths.
    answer choices
    a = 4, b = 4
    a = 4, b = 2√2
    a = 2√2,  b = 4
    a = 4, b = 4
  • Question 7
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    Q.

    Use the 45-45-90 theorem to solve for the hypotenuse.

    answer choices

    16

    8

    8√2

    √16

  • Question 8
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    Q. Solve for a and b in the special right triangle.
    answer choices
    a = 5, b = 5
    a = 10, b = 10√2
    a = 10√2, b = 10√2
    a = 5√2, b = 5√2
  • Question 9
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    Q. Find the value of x.
    answer choices
    3 sqrt(2)
    3
    6 sqrt(2)
    6
  • Question 10
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    Q. What is the value of x?
    answer choices
    12√2
    2√12
    24
    2
  • Question 11
    900 seconds
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    Q. Find a - the length of a leg of the triangle.
    answer choices
    4
    2
    4√2
    2√4
  • Question 12
    900 seconds
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    Q. Find a - the length of the hypotenuse.
    answer choices
    2√6
    2√3
    3
    6
  • Question 13
    900 seconds
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    Q. If the leg of a 45-45-90 triangle is 7 cm long, then its hypotenuse is _____ cm.
    answer choices
    7√2
    49√2
    7
    7√7
  • Question 14
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    Q. Find the length of the diagonal of a square with side length 12 cm.
    answer choices
    12√2 cm
    6√2 cm
    7√2 cm
    13
    13√2 cm
  • Question 15
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    Q. In this 45-45-90 triangle, I have been given a leg, so to find the other leg I...
    answer choices
    Multiply that leg by 2
    Use the same length for the second leg
    Multiply that leg by √2
  • Question 16
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    Q. Find the lengths of the other two sides of a right triangle if the length of the hypotenuse is 4√2 inches and one of the angles is 45∘.
    answer choices
    4 inches
    2 inches
    8 inches
    10 inches
  • Question 17
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    Q. A square has a perimeter of 32 inches.  What is the length of the diagonal?
    answer choices
    16
    4√2 in
    32√2 in
    8√2 in
  • Question 18
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    Q. Sam's square bedroom has a diagonal of 9√2 feet.  What is the length of each side?
    answer choices
    18
    3√2
    9
    12.7
  • Question 19
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    Q. A triangle has side lengths:
    5, 8, 6.  Is this triangle a right triangle, an acute triangle, or an obtuse triangle?
    answer choices
    right
    acute
    obtuse
  • Question 20
    120 seconds
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    Q. A triangle has side lengths:
    20, 21, 28.  Is this triangle a right triangle, an acute triangle, or an obtuse triangle?
    answer choices
    right
    acute
    obtuse
  • Question 21
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    Q. How long is the hypotenuse of a 45-45-90 triangle, how long is the hypotenuse if each leg is 5 units?
    answer choices
    10 units
    5 units
    15 units
    5√2 units
  • Question 22
    30 seconds
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    Q.

    The perimeter of a square is 40, what is the length of its diagonal

    answer choices

    10

    10√2

    20

    400

  • Question 23
    300 seconds
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    Q.

    The area of a square is 400, what is the length of its diagonal

    answer choices

    20

    20√2

    80

    80√2

  • Question 24
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    Q.

    The diagonal of a square is 15√2, what is its area?

    answer choices

    60

    60√2

    225

    225√2

  • Question 25
    30 seconds
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    Q.

    The diagonal of a square is 20, what is its area?

    answer choices

    40

    40√2

    100

    200

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