Question

The sets of numbers 3, 4, 5, and 8, 15, 17 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!

Answer 1

Pythagorean Theorom: a^2+b^2=c^2

Take the largest number of each as C (hypotenuse)

3,4,5

(3)^2+(4)^2= (5)^2

25=25

Therefore it is a Pythagorean Triple.

8,15,17

(8)^2+(15)^2=(17)^2

289=289

Therefore it is a Pythagorean Triple.