Answer:
The given lengths do not make a right triangle
Step-by-step explanation:
A right triangle has the sum of the squares of the side lengths equal to the square of the hypotenuse, per the Pythagorean Theorem:
[tex]a^2+b^2=c^2\\\\12^2+16^2\stackrel{?}{=}25^2\\\\144+256\stackrel{?}{=}625\\\\400\stackrel{?}{=}625\\\\400\neq625[/tex]
Since the sum of the squares of the side lengths are not equal to the square of the hypotenuse, then the lengths of the triangle don't make a right triangle.
