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

the diameter is 16 cm. are you a teacher?

step-by-step explanation: