I.

Pythagorean Triple

File:

$-$ Create a file named $$a$2\_$triangle.c$($you MUST name it a$2\_$triangle.c$).$

$-$ Submit your $$a$2\_$triangle.c$$ in Gradescope.

A Pythagorean triple is the set of three integer values for a right triangle that satisfie

the relationship established by the Pythagorean theorem: c$2=$ a$2+$ b$2.$

Write a program that uses brute$-$force computing to determine the integer sets of

Pythagorean triples up to a limit set by the user. The user inputs a maximum integer

length of the hypothenuse side of the triangle.