Pythagorean Theorem Exam: Math Quiz!

10 Questions | By Aconey | Last updated: Mar 22, 2022 | Total Attempts: 2449

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Pythagorean Theorem Exam: Math Quiz! - Quiz

The Pythagorean Theorem is a mathematical formula that tells the relationship between the sides in a right triangle, consisting of two legs and a hypotenuse. The Theorem is named after the ancient Greek mathematician 'Pythagoras. ' This quiz has been designed to test your mathematical skills in solving numerical problems. Read the questions carefully and answer.

Questions and Answers

1.

The front of a hiking tent is shaped like 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 the 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 a 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.
10.

In trigonometry, the Pythagorean theorem is considered a special case of a more general law. In other words, this mathematical law is a more general formula that can be used for all types of triangles. What is the name of this law?
- A.
  
  Law of sines
- B.
  
  Law of tangents
- C.
  
  Law of sines
- D.
  
  Law of cosines