are these numbers a Pythagorean triple? yes or no

Answer:
Yes
Step-by-step explanation:
You know if the numbers are in a Pythagorean triple if the sum of the squares of the two smaller numbers is equal to the square of the largest number according to the Pythagorean Theorem: [tex]a^2+b^2=c^2[/tex].
Here, a = 15 and b = 20. Let's see if: [tex]15^2+20^2[/tex] equals [tex]25^2[/tex].
15^2 = 225
20^2 = 400
15^2 + 20^2 = 225 + 400 = 625
25^2 = 625
Since 15^2 + 20^2 does indeed equal 25^2, we know that this is a Pythagorean triple.
Hope this helps!