Answer :
It's important to know that the three given sides must be congruent with the Pythagorean's Theorem in order to form a right triangle.
The theorem is
[tex]c^2=a^2+b^2[/tex]Where c is the longer side. Let's replace each side.
[tex](7.5)^2=6^2+(4.5)^2[/tex]Let's solve each side of the equation.
[tex]\begin{gathered} 56.25=36+20.25 \\ 56.25=56.25 \end{gathered}[/tex]Since the three given sides satisfy the Pythagorean's Theorem, we can deduct that they form a right triangle.