Unit 4 Right Triangles, Pythagorean Theorem Practice Test

18 Questions | Total Attempts: 509

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Unit 4 Right Triangles, Pythagorean Theorem Practice Test

This quiz will test you on right triangles (triangles in which one angle is 90 degrees) and the Pythagorean theory, which states that the square of the hypotenuse is equal to the sum of the squares of the other sides.


Questions and Answers
  • 1. 
    Find the area of a triangle that has a base of 12 and a height of 8.
    • A. 

      96

    • B. 

      48

    • C. 

      20

    • D. 

      192

    • E. 

      Cannot be determined

  • 2. 
    Find the missing side of the right triangle below. Round to the nearest tenth.You need to use Pythagorean Theorem.
  • 3. 
    Find the area of a rectangle that has a base of 12 and a height of 8.
  • 4. 
    Find the length of the diagonal of a rectangle that has a length of 6 and a width of 8. You need to draw the rectangle. The diagonal cuts it in half (use Pythagorean theorem).
  • 5. 
    Find the missing side of the right triangle below.
  • 6. 
    Now find the area of the triangle. Use your answer from the last problem for the base of the triangle.
  • 7. 
    Find the missing side of the 45-45-90 triangle below.
  • 8. 
    Which is the length of the missing side of the 45-45-90 triangle below?
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

    • E. 

      E

  • 9. 
    A ladder leans against a house at a 45 degree angle. If the ladder reaches 20 feet high on the house, how long is the ladder to the nearest tenth of a foot?
    • A. 

      28.3 feet

    • B. 

      14.1 feet

    • C. 

      34.6 feet

    • D. 

      40 feet

    • E. 

      10 feet

  • 10. 
    Find the missing side of the 30-60-90 triangle below.
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

    • E. 

      E

  • 11. 
    Find the missing side of the 30-60-90 triangle below.
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

    • E. 

      E

  • 12. 
    Find the missing side of the 30-60-90 triangle below.
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

    • E. 

      E

  • 13. 
    What is Sin(A)(You need to find the hypotenuse first)
    • A. 

      15/8

    • B. 

      8/15

    • C. 

      15/17

    • D. 

      8/17

    • E. 

      17.15

  • 14. 
    Find Tan(B)
    • A. 

      15/8

    • B. 

      8/15

    • C. 

      15/17

    • D. 

      8/17

    • E. 

      17/15

  • 15. 
    Find Tan(30)*Use the special right triangle*.
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

    • E. 

      E

  • 16. 
    Find Cos(60)
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

    • E. 

      E

  • 17. 
    A car spots a mountain off in the distance at an angle of elevation of 20 degrees. The car is 3 miles from the mountain. How high is the mountain to the nearest tenth of a mile?
  • 18. 
    A ladder leans against a house at an angle of elevation of 50 degrees. How long is the ladder if it reaches a height of 15 feet on the side of the house? Round to the nearest foot.