Free Printable Pythagoras of Samos

Worksheets

Pythagoras of Samos

Total questions: 15

Worksheet time: 1hrs 15mins

Name

Class

Date

What kind of triangles does the Pythagorean Theorem work with?

Right

Left

Isosceles

Equilateral

Identify the hypotenuse.

What is the length of x?

To get from point A to point B you must avoid walking through a pond. To avoid the pond, you must walk 34 meters south and 41 meters east. To the nearest meter, how many meters would be saved if it were possible to walk through the pond?

Find the length of b in this triangle.

What is the opposite of squaring a number?

divide

multiply

fractions

square root

What is the hypotenuse of the diagram?

11 blocks

9 blocks

5 blocks

10 blocks

We are given one of the sides and the hypotenuse.

Find the length of the missing side length.

(Hint: distance from the wall to the bottom of the ladder)

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?

111.8 yards

115 yards

127.3 yards

119 yards

10.

Jane and Miguel are siblings. They go to different schools. Jane walks 6 blocks east from home. Miguel walks 8 blocks north. How many blocks apart would the two schools be if you could walk straight from one school to the other?

5.3

11.

What is the diagonal length of the iPad?

9.2 in

11 in

13 in

9.6 in

12.

Which set of sides would make a right triangle?

4,5,6

8,10,12

5,12,13

5,10,12

13.

A piece of paper that Brittany has is 11 inches tall and 8 inches wide. She draws a straight line diagonally across the paper. How long is the line she drew?

7.5 in

12.4 in

13.6 in

14.3 in

14.

Logan, Nolan, and their coach are throwing the ball around the horn from 1st - 2nd - 3rd. Their coach then asks Nolan at 3rd base to throw it back to 1st. How long does Nolan have to throw the ball? (**the bases are 90 ft apart**)

158.8 ft

90 ft

66.6 ft

127.28 ft

15.

Will has had it with the high price of streaming services and cable TV so he is putting up an antenna tower. The DIY antenna tower kit comes with a 12 m stabilizing wire and must be anchored to the ground 5 m from the base of the tower. How tall is the antenna tower if the stabilizing wire goes from the ground to the top of the tower?

12.05 m

9.79 m

10.91 m

11. 81 m

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Pythagoras of Samos

Total questions: 15

Worksheet time: 1hrs 15mins

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