Question

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 1

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 = $\frac{111}{3}$

x = 37

Therefore, sides of the triangular birdcage are 37 cm, 38 cm, 39 cm.