FIND UNKNOWN IN PYTHAGOREAN TRIPLE WORKSHEET

Find k given that the following are Pythagorean triples :

Problem 1 :

{9, k, 15}

Solution

Problem 2 :

{8, 15, k}

Solution

Problem 3 :

{k, 24, 26}

Solution

Problem 4 :

{11, k, 61}

Solution

How to Check If the Given Numbers are Pythagorean Triples

Check if the following sets of numbers form Pythagorean triples?

Problem 5 :

{3, 7, 9}

Solution

Problem 6 :

{14, 48, 50}

Solution

Problem 7 :

{7.5, 10, 12.5}

Solution

Problem 8 :

{5, 12, 13}

Solution

Problem 9 :

{7, 24, 25}

Solution

Problem 10 :

{8, 15, 17}

Solution

Answer Key

1) k = 12

2) k = 17

3)  k = 10

4)  k = 60

5)   {3, 7, 9} is not a Pythagorean triple.

6)  {3, 7, 9} is a Pythagorean triple.

7)  {7.5, 10, 12.5} is a Pythagorean triple.

8)  {5, 12, 13} is a Pythagorean triple.

9)  {7, 24, 25} is a Pythagorean triple.

10)   {8, 15, 17} is a Pythagorean triple. 

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