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30-60-90 Degree Right Triangles

Quiz by Michelle Press

High School
Geometry (Archived)
Texas Essential Knowledge and Skills (TEKS)

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26 questions
Show answers
  • Q1
    In a 30-60-90 degree triangle, if the shortest side is 5 units long, what is the length of the hypotenuse?
    20 units
    15 units
    10 units
    25 units
    30s
  • Q2
    In a 30-60-90 degree triangle, if the the hypotenuse is 18 units, what is the length of the longest side angle?
    18 √3
    9 √3
    9
    18
    30s
  • Q3
    In a 30-60-90 degree triangle, if the length of the longer side is 7√3 units, what is the length of the shortest side?
    21 units
    3.5 units
    7 units
    14 units
    30s
  • Q4
    In a 30-60-90 degree triangle, if the hypotenuse is 24 units long, what is the length of the shortest side?
    16 units
    12 units
    8 units
    6 units
    30s
  • Q5
    In a 30-60-90 degree triangle, if the shortest side is 15 units, what is the length of the longest side?
    7.5 units
    30 units
    45 units
    15 √3 units
    30s
  • Q6
    In a 30-60-90 degree triangle, if the longest side is 12√3 units long, what is the length of the hypotenuse?
    36 units
    48 units
    24 units
    12 units
    30s
  • Q7
    In a 30-60-90 degree triangle, if the shortest side is 8 units, what is the length of the hypotenuse?
    8 √3 units
    16 units
    24 units
    32 units
    30s
  • Q8
    In a 30-60-90 degree triangle, if the hypotenuse is 26 units long, what is the length of the longest side?
    13 √3 units
    26 √3 units
    39 units
    13 units
    30s
  • Q9
    In a 30-60-90 degree triangle, if the shortest side is 11 units long, what is the length of the longest side?
    44 units
    33 units
    22 units
    11 √3 units
    30s
  • Q10
    In a 30-60-90 degree triangle, if the hypotenuse is 15 units long, what is the length of the shortest side?
    7.5 units
    5 units
    10 units
    15 units
    30s
  • Q11
    In a 30-60-90-degree right triangle, if the hypotenuse is 16 units long, how long is the longest leg?
    8√3
    16
    8
    4√3
    30s
  • Q12
    In a 30-60-90-degree triangle, if the length of the longest leg is 6√3 units, what is the length of the hypotenuse?
    6
    12
    24
    18
    30s
  • Q13
    In a 30-60-90-degree right triangle, if the shortest leg is 7 units long, how long is the longest leg?
    7
    21
    7√3
    14
    30s
  • Q14
    In a 30-60-90 degree triangle, if the length of the hypotenuse is 40 units, what is the length of the shortest leg?
    20
    10
    40
    30
    30s
  • Q15
    In a 30-60-90-degree triangle, if the longest leg is 8√3 units long, what is the length of the shortest leg?
    24
    16
    12
    8
    30s

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