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Pythagorean Triads

In this worksheet, students increase their understanding of Pythagoras' Theorem by picking out the Pythagorean Triads from the given lists.

'Pythagorean Triads' worksheet

Key stage:  KS 4

Curriculum topic:  Geometry and Measures

Curriculum subtopic:  Apply Pythagoras' Theorem and Trigonometric Ratios to Find Angles and Lengths in 2D Figures

Difficulty level:  

down

Worksheet Overview

QUESTION 1 of 10

A Pythagorean Triad is a set of three whole numbers a, b and c which fit Pythagoras' Equation

a2 + b2 = c2

You should learn the following list of Pythagorean Triads and their multiples.

 

a
b
c
3 4 5
5 12 13
7 24 25
9 40 41
11 60 61
     
8 15 17

 

Select all the Pythagorean Triads from the list below.

 

(Remember to look out for multiples too!)

3, 4, 5

4, 5, 6

5, 6, 9

6, 8, 10

Select all the Pythagorean Triads from the list below.

 

(Remember to look out for multiples too!)

3, 4, 7

4, 5, 6

6, 8, 10

9, 12, 15

Select all the Pythagorean Triads from the list below.

 

(Remember to look out for multiples too!)

5, 12, 13

4, 5, 8

16, 18, 20

8, 12, 15

Select all the Pythagorean Triads from the list below.

 

(Remember to look out for multiples too!)

15, 12, 13

7, 24, 25

15, 20, 25

9, 12, 15

Select all the Pythagorean Triads from the list below.

 

(Remember to look out for multiples too!)

10, 12, 13

10, 24, 26

15, 20, 24

9, 40, 41

Select all the Pythagorean Triads from the list below.

 

(Remember to look out for multiples too!)

10, 12, 15

15, 36, 39

15, 20, 26

30, 40, 50

Select all the Pythagorean Triads from the list below.

 

(Remember to look out for multiples too!)

10, 12, 20

150, 360, 390

21, 72, 75

60, 80, 100

Select all the Pythagorean Triads from the list below.

 

(Remember to look out for multiples too!)

11, 60, 61

30, 60, 90

42, 144, 150

8, 15, 17

Select all the Pythagorean Triads from the list below.

 

(Remember to look out for multiples too!)

16, 30, 34

15, 40, 41

22, 120, 122

8, 12, 15

Select all the Pythagorean Triads from the list below.

 

(Remember to look out for multiples too!)

24, 45, 51

24, 32, 40

24, 7, 25

24, 18, 30

  • Question 1

Select all the Pythagorean Triads from the list below.

 

(Remember to look out for multiples too!)

CORRECT ANSWER
3, 4, 5
6, 8, 10
  • Question 2

Select all the Pythagorean Triads from the list below.

 

(Remember to look out for multiples too!)

CORRECT ANSWER
6, 8, 10
9, 12, 15
  • Question 3

Select all the Pythagorean Triads from the list below.

 

(Remember to look out for multiples too!)

CORRECT ANSWER
5, 12, 13
  • Question 4

Select all the Pythagorean Triads from the list below.

 

(Remember to look out for multiples too!)

CORRECT ANSWER
7, 24, 25
15, 20, 25
9, 12, 15
  • Question 5

Select all the Pythagorean Triads from the list below.

 

(Remember to look out for multiples too!)

CORRECT ANSWER
10, 24, 26
9, 40, 41
  • Question 6

Select all the Pythagorean Triads from the list below.

 

(Remember to look out for multiples too!)

CORRECT ANSWER
15, 36, 39
30, 40, 50
  • Question 7

Select all the Pythagorean Triads from the list below.

 

(Remember to look out for multiples too!)

CORRECT ANSWER
150, 360, 390
21, 72, 75
60, 80, 100
  • Question 8

Select all the Pythagorean Triads from the list below.

 

(Remember to look out for multiples too!)

CORRECT ANSWER
11, 60, 61
42, 144, 150
8, 15, 17
  • Question 9

Select all the Pythagorean Triads from the list below.

 

(Remember to look out for multiples too!)

CORRECT ANSWER
16, 30, 34
22, 120, 122
  • Question 10

Select all the Pythagorean Triads from the list below.

 

(Remember to look out for multiples too!)

CORRECT ANSWER
24, 45, 51
24, 32, 40
24, 7, 25
24, 18, 30
---- OR ----

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