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Problem solving involving similarities and right triangles

Quiz by DiCNHS Math Dept.

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10 questions
Show answers
  • Q1
    In a right triangle, if one angle is 30 degrees and the hypotenuse is 10 units, what is the length of the side opposite the 30-degree angle?
    4.3
    10
    5
    8.6
    30s
  • Q2
    In a right triangle, one leg is 6 units long and the hypotenuse is 10 units long. What is the length of the other leg?
    11
    8
    9
    7
    30s
  • Q3
    If two triangles are similar and the lengths of the corresponding sides of the first triangle are 3 cm, 4 cm, and 5 cm, what is the perimeter of the second triangle if its longest side is 15 cm?
    40 \, \text{cm}
    25 \, \text{cm}
    30 \, \text{cm}
    36 \, \text{cm}
    30s
  • Q4
    In a right triangle, the lengths of the two legs are 9 units and 12 units. What is the length of the hypotenuse?
    16
    13
    18
    15
    30s
  • Q5
    A 5-foot ladder is leaning against a wall, reaching a height of 4 feet on the wall. How far is the base of the ladder from the wall?
    6
    3
    4.5
    2
    30s
  • Q6
    In a right triangle, one angle is 45 degrees and its adjacent side is 7 units. What is the length of the hypotenuse?
    14
    7\sqrt{2}
    10
    7\sqrt{3}
    30s
  • Q7
    Two right triangles are similar. The legs of the first triangle are 6 units and 8 units. If the shorter leg of the second triangle is 9 units, what is the length of the longer leg?
    15
    10
    13
    12
    30s
  • Q8
    In a right triangle, the hypotenuse is 13 units and one leg is 5 units. What is the length of the other leg?
    11
    9
    12
    10
    30s
  • Q9
    In two similar right triangles, the sides of the first triangle are 3 cm, 4 cm, and 5 cm. If the shortest side of the second triangle is 6 cm, what is the length of the hypotenuse of the second triangle?
    10
    12
    9
    11
    30s
  • Q10
    In a right triangle, the lengths of the two legs are 8 cm and 15 cm. What is the length of the hypotenuse?
    16
    18
    20
    17
    30s

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