determine whether the side lengths form a right triangle just say yes or no

Answer:
Yes, the side lengths
Explanation:
To be able to determine if the given side lengths of the triangle will form a right triangle, we'll have to apply the Pythagorean Theorem which states, in a right-angled triangle, the square of the hypotenuse(the longest side) must be equal to the sum of squares of the other two sides.
So let's go ahead and confirm;
[tex]\begin{gathered} 14.5^2=10.5^2+10^2 \\ 210.25=110.25+100 \\ 210.25=210.25 \end{gathered}[/tex]Since the Pythagorean theorem is obeyed as we can see above, then the side lengths will form a right triangle.