The Pythagorean Theorem: Quiz
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The Pythagorean Theorem is a mathematical formula which tells the relationship between the sides in a right triangle which consists 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. So, let's try out the quiz. All the best!
- 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.
- 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
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