Question

The sets of numbers 6, 8, 10 and 5, 12, 13 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! ~iGreen

Answer 1

@iGreen

Answer 2

Last question, that's why its hard <3

Answer 3

We can plug them into the Pythagorean Theorem.

\(a^2 + b^2 = c^2\)

\(6^2 + 8^2 = 10^2\)

\(36 + 64 = 100\)

36 + 64 = ? @blackops2luvr

Answer 4

,lol... its, soooooo hard, i dont know.... i cant....

Answer 5

its 100

Answer 6

so, i out in everything u just typed?

Answer 7

i put*

Answer 8

Yep, so that gives us 100 = 100, which means 6, 8, and 10 is a true Pythagorean triple because it satisfies the equation \(a^2 + b^2 = c^2\).

Answer 9

thank's

Answer 10

Now we plug the 2nd one into the Pythagorean theorem:

\(a^2 + b^2 = c^2\)

\(5^2 + 12^2 = 13^2\)

\(25 + 144 = 169\)

25 + 144 = ? @blackops2luvr

Answer 11

169.

Answer 12

so now i type tht?

Answer 13

Yep, so that gives us 169 = 169. So 5, 12, and 13 is a perfect Pythagorean Triple too because it satisfies the equation \(a^2 + b^2 = c^2\).

Answer 14

Just write something like this:

Let's plug in 6, 8 and 10 into the pythagorean theorem:

a^2 + b^2 = c^2

6^2 + 8^2 = 10^2

36 + 64 = 100

100 = 100

So 6, 8, and 10 are pythagorean triples because they satisfy the pythagorean theorem.

Let's plug in 5, 12 and 13 into the pythagorean theorem:

a^2 + b^2 = c^2

5^2 + 12^2 = 13^2

25 + 144 = 169

169 = 169

So 5, 12, and 13 are also pythagorean triples because they satisfy the pythagorean theorem.

Answer 15

wow. thank you soooooooooooooooooooooooooooooooooooooooooo much dude,

Answer 16

the test is good to submit rght?

Answer 17

Yes, I think so..tell me what score you get.

Answer 18

i got a 80% ~one essay ungraded

Answer 19

i got everything correct.

Answer 20

Cool.

Answer 21

well... i go now. I neeeeeed to play my Advanced Warfare :D

Answer 22

bye!

Answer 23

Bye!