Yes, the triangle is a right-angled triangle.
We can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
If we let a, b, and c be the lengths of the sides of the triangle, with c being the hypotenuse, then the Pythagorean theorem can be written as:
a^2 + b^2 = c^2
Substituting the given values:
16^2 + 48^2 = 256 + 2304 = 2560
Taking the square root of both sides, we get:
c = sqrt(2560) ≈ 50.56
Since the length of the hypotenuse is approximately 50.56 cm, which is very close to the given length of 50 cm, we can conclude that the triangle is a right-angled triangle.