Answer:
It is the right-angled triangle.
Step-by-step explanation:
According to the Pythagorean theorem, [tex]a^{2}+b^{2}=c^{2}[/tex], which c is the longest side of the triangle.
So, [tex]27^{2}+36^{2}=45^{2}[/tex] if the triangle is right angle.
[tex]LHS=27^{2} + 36^{2} = 2025[/tex]
[tex]RHS=45^{2}=[/tex][tex]RHS=45^{2} = 2025[/tex]
∵LHS=RHS
∴It is a right-angled triangle.
