Answer:
x = 25
The lengths form a pythagorean triple
=========================================================
Explanation:
Use the pythagorean theorem to get the following
[tex]a^2 + b^2 = c^2\\\\c = \sqrt{a^2 + b^2}\\\\\text{x} = \sqrt{15^2 + 20^2}\\\\\text{x} = \sqrt{225 + 400}\\\\\text{x} = \sqrt{625}\\\\\text{x} = 25\\\\[/tex]
Since we end up with a whole number, we do form a pythagorean triple of 15,20,25 or you can write it as 15-20-25
A pythagorean triple is where a,b,c are all integers that satisfy the pythagorean theorem above.
This is not a primitive pythagorean triple because we could divide all three values by the GCF 3 to get the triple 3-4-5. The keyword for this paragraph is "primitive".
