3. The sides of a triangular birdcage are consecutive integers. If the perimeter is 114 centimeters, what is the length of each side? Label each side with an expression that represents its length.

Answer:
Sides of the triangular birdcage are 37 cm, 38 cm, 39 cm.
Step-by-step explanation:
In the given triangular birdcage, sides of the triangle are consecutive integers.
Let sides of the triangle are x, (x + 1), (x + 2) cm.
Perimeter of a triangle = Sum of all sides of the given triangle
114 = x + (x + 1) + (x + 2)
114 = 3x + 3
3x = 111
x = [tex]\frac{111}{3}[/tex]
x = 37
Therefore, sides of the triangular birdcage are 37 cm, 38 cm, 39 cm.