Question

Given that triangle ABC is a right triangle, select a set of possible side length measures.

Answer 1

You didn't supply any rules or constraints so.... 1 in., 1 in., and 1 in.

You can use the Pythagorean Theorem to check if the side lengths are appropriate.

$a^2 + b^2 = c^2$

$1^2 + 1^2 = 1^2$ –this is true.

Answer 2

There are an infinite number of sets of side-length measures that can make a right triangle.  It would take me quite a long time to write down all of them, and then an infinite length of time to upload them so you could see them.  Also, it would cost me a bundle to push all that data through on my wifi plan, and you wouldn't have enough space in your phone or computer to download them.

The whole idea is that a set that works MUST follow this rule:

The square of the biggest one

is equal to

(the square of the 2nd one) + (the square of the last one) .

Any set of 3 numbers that fits that rule can be the lengths of the sides of a right triangle.  

This was discovered by a math pro named Pythagoras, around the year 500.

==>  BC