The set of a numbers 3, 4, 5 and 8, 15, 17 are pythagorean triples. use what you know about pythagorean theorem and explain or show why they are pythagorean triple. be sure to show your work for each step of triples

Hey there!!

Pythagorean theorem :

a^2 + b^2 = c^2

'c' being the hypotenuse is the largest of all the sides.

Given:

3,4,5

5 is the largest and hence, it is the hypotenuse.

3^2 + 4^2 = 5^2

9 + 16 = 25

25 = 25

Hence, they are triplet.

Given:

8 , 15 , 17

17 = largest = hypotenuse

8^2 + 15^2 = 17^2

64 + 225 = 289

289 = 289

Hence, they are triplet.

Hope my answer helps!

Happy Thanksgiving! :)

Because (3*3)+(4*4)=25

9+16=25

(8*8)+(15*15)=17*17

64+225=289

289=289

you are saying it as if a fact, not a question, but yes, you would be correct? ; )

step-by-step explanation:

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.