The sets of numbers 7, 24, 25 and 9, 40, 41 are pythagorean triples. use what you know about the pythagorean theorem and explain or show why they are pythagorean triples. be sure to show your work for each set of triples! (5 points)

Check below.

Step-by-step explanation:

The Pitagoras' theorem says that for a right triangle is true that  

where a and b are the legs and c the hypotenuse. Now, a pythagorean triple are three numbers that satisfies that rule. That is, we have that three integers x,y and n are a pytagorean triple if they satisfy that

.

For the case of 7,24 and 25:

and , then , so

For the case of 9, 40 and 41:

and , then , so

.

1. 8

2. 9

3. 20

4. 3

5. 17

6. 2.2

7. 11.25

8. 1

9. 14

10. 2

step-by-step explanation:

thats the first half