Final answer:
The given triangle is an acute triangle.
Step-by-step explanation:
A triangle can be classified regarding its angles as either acute, obtuse, or right. An acute triangle has all angles less than 90 degrees, an obtuse triangle has one angle greater than 90 degrees, and a right triangle has one angle equal to 90 degrees.
To classify the given triangle, we need to determine the measures of its angles.
Given the lengths of the triangle sides: √/45cm, 6cm, and 2cm, we can use the Pythagorean theorem to check if it is a right triangle. If the square of the longest side (√/45cm) is equal to the sum of the squares of the other two sides (6cm and 2cm), then it is a right triangle.
Square the lengths of the sides:
(√/45cm)^2 = 45cm
6cm^2 + 2cm^2 = 40cm
Since 45cm is not equal to 40cm, the triangle is not a right triangle. Therefore, we can conclude that the triangle is an acute triangle.