Pythagorean Theorem Quiz

Question 1

Question

Find the perimeter of the triangle: Hypotenuse = 100 cm, "b" = 28 cm, and "a" = ?

Answer

224 centimeters²
224 centimeters
96 centimeters²
96 centimeters

Question 2

Question

A wire extends from the top of a 24-foot telephone pole to a stake in the ground 10 feet away. How long is the wire?

Answer

√676 feet
676 feet
28 feet
26 feet

Question 3

Question

There is a rope running from the top of a flagpole to a hook in the ground. The flagpole is 12 meters high, and the hook is 9 meters from its base. How long is the rope?

Answer

18 meters
225 meters
30 meters
15 meters

Question 4

Question

If a² + 30 = 34, what is the perimeter?

Answer

Question 5

Question

Frankenstein is replacing a door that is 96 inches tall and measures 100 inches across the diagonal. What is the width of the door?

Answer

392 inches
784 inches
28 inches
32 inches

Question 6

Question

A soccer player stands in the southeast corner of a 76-yard by 57-yard field and kicks a soccer ball all the way to a player in the opposite corner. That player kicks the ball down the length of the field to a player in the southwest corner. Finally, the player in the southwest corner returns the ball back to the original player. How far has the ball traveled?

Answer

228 yards
95 yards
133 yards
238 yards

Question 7

Question

A pigeon was sitting 6 meters from the base of a telephone pole and flew 10 meters to reach the top of the pole. How tall is the telephone pole?

Answer

64 meters
8 meters
18 meters
16 meters

Question 8

Question

If you are given the lengths of all the sides of a triangle, how do you find out if it is a right triangle?

Answer

Plug in all the sides into the Pythagorean Theorem formula and see if it is true or false. True = not right triangle and False = right triangle. (Remember the hypotenuse is the longest side.)
Plug in all the sides into the Pythagorean Theorem formula and see if it is true or false. True = right triangle and False = not right triangle.(Remember the hypotenuse is the longest side.)