The Pythagorean Theorem: Quiz #1

9 Questions  I  By Aconey
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Pythagorean Theorem Quizzes & Trivia
Directions: Use the Pythagorean Theorem to solve the following problems.

  
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Questions and Answers

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  • 1. 
    The front of a hiking tent is shaped alike a triangle. The slanted sides are both 5 feet long and the bottom of the tent is 6 feet across. What is the height of the tent in feet at the tallest point?
    • A. 

      4 feet

    • B. 

      4 ft.

    • C. 

      4


  • 2. 
    Two joggers run 8 miles north and then 15 miles west. What is the shortest distance, they must travel to return to their starting point?
    • A. 

      17 miles

    • B. 

      17 mi.

    • C. 

      17


  • 3. 
    A baseball diamond is a square with sides of 90 feet. What is the shortest distance, to the nearest tenth of a foot, between home plate and 2nd base?
    • A. 

      127.3 feet

    • B. 

      127.3 ft.

    • C. 

      127.3

    • D. 

      127.28 feet

    • E. 

      127.28 ft.


  • 4. 
    To get from point A to point B Myranda must avoid walking through the pond. She walks 34 meters south and 41 meters east. How many meters is the shortest distance from point A to point B?
    • A. 

      53.3 meters

    • B. 

      53.3 m.

    • C. 

      53.3

    • D. 

      53.26 meters

    • E. 

      53.26


  • 5. 
    Ms. Coney made the triangle that you see here on the board. She said that they hypotenuse is 13 inches and one of the legs is 5 inches. What is the length of the other leg?
    • A. 

      12 inches

    • B. 

      12 in.

    • C. 

      12


  • 6. 
    A suitcase measures 24 inches long and 18 inches high. What is the diagonal length of the suitcase?
    • A. 

      30 inches

    • B. 

      30 in.

    • C. 

      30


  • 7. 
    How far up a wall will an ladder reach that measures 11 meters, if the foot of the ladder must be 4 meters from the base of the wall?
    • A. 

      10.2 meters

    • B. 

      10.2 m.

    • C. 

      10.2

    • D. 

      10.24 meters

    • E. 

      10.24


  • 8. 
    Breanna has a laptop computer that has a 37 centimeter diagonal screen. The width of the laptop is 12 centimeters. What is the length of the laptop?
    • A. 

      35 centimeters

    • B. 

      35 cm

    • C. 

      35


  • 9. 
    Shaylee wanted to know if a triangle whose legs are 15 feet and 8 feet and whose hypotenuse is 17 feet is a right triangle. She put into her calculator 17x17 =289. Then she put into her calculator 15x15 =225 and 8x8 =64, and added 225 and 64 together. Is the triangle a right triangle?
    • A. 

      No, because 15+8 does not equal 17.

    • B. 

      No, because there is not enough information to solve this problem.

    • C. 

      Yes, because the square of the hypotenuse is equal to the sum of the squares of the legs of the triangle.

    • D. 

      Yes, because 8x15x17 is equal to 2040.


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