Pythagorean Triple

Maria Nazhmeddinova

this here is my first triple!

This is my fist triple. Sorry if you cannot see it that
well, but the legs are 3cm and 4cm. c is equal to 5cm. I got the answer like
this:

3 to the power of two+ 4 to the power of two = c
to the power of two

9 + 16 = c

25 squared = c squared

5cm

second Pythagorean triple !

This is my second triple. Its legs are 6cm are 8cm. c equals
10cm. I got the answer like this:

6 to the power of two+ 8 to the power of two = c to the
power of two

36+64 =c

100 squared = c squared

10cm

third triple!

This is my third triple its legs are 8cm and 15cm. c equals
17 cm. I got the answer like this:

8 to the power of two+ 15 to the power of two= c to the
power of two

64+225= c

289 squared = c squared

17cm

triple number 4!

This is my fourth triple, its legs are 7cm and 24cm. c
equals 25cm I got the answer like this:

7 to the power of two + 24 to the power of two = c to the
power of two

49+ 576= c

625 squared = c squared

25cm

triple number 5!

This is my fifth
triple. The legs of this triple are 9cm and 40cm. c equals 41cm, I got the
answer like this:

9 to the power of two+ 40 to the power of two= c to the power
of two

81+1600=c

1681 squared = c squared

41 cm

this is triple number 6

This is triple number six. Its legs are 20cm and 21cm. c
equals 29cm. got the answer like this:

20 to the power of two+ 21 to the power of two = c to the
power of two

400+441=c

841 squared= c squared

29cm

this is triple number 7!

This is Pythagorean triple number 7. Its legs are 11cm and
60cm. c equals 61cm. I got the answer like this:

11 to the power of two + 60 to the power of two =c to the
power of two

121+3600=c

3721 squared = c squared

61cm

triple number 8

This is triple number 8. Its legs are 33cm and 56cm. c
equals 65cm. I got the answer like this:

33 to the power of two+ 56 to the power of two= c to the
power of two

1089+ 3136=c

4225 squared= c squared

65cm

this is triple number nine!

This is triple number 9. Its legs are 5cm and 12cm. c equals
13cm, I go the answer like this:

5 to the power two + 12 to the power of two = c to the power
of two

25+144=c

169 squared = c squared

13cm

last but not least triple number 10!

This is triple number 1o. Its legs are 35cm and 612cm. c
equals 613cm, I got the answer like this:

35 to the power of two+ 612 to the power of two= c to the
power of two

1225+ 374544=c

375769 squared= c squared

613cm

The rule on 2-5 and the other rule seem really alike! But for
me I thought that the rule that they teach you on 2-5 was a lot easier to
understand. The other rule had fractions and was written in a harder way so I didn’t
really understand it that well, but I got that they have the same idea. The basic
rule is a+b=c . For example it is proven like this: I have a right triangle,
its sides are 3cm and 4cm. To find out the hypotenuse, you need to do this:

3 squared+ 4squared= c squared

9+16=c

25 squared=c squared

5cm

That is the way
you solve the triangle and this is how the rule works!