# The Pythagorean Theorem: Quiz #1

9 Questions  Settings  Directions: Use the Pythagorean Theorem to solve the following problems.

• 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

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