9 Questions

Directions: Use the Pythagorean Theorem to solve the following problems.

Questions and Answers

- 1.
- 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