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

Explanation:

Let the first side is x, second side is (x+1) and the third sie is (x+2). The perimeter of the triangle is 114 cm.

It means,

x+x+1+x+2=114

3x+3=114

3(x+1)=114

x+1=38

x=37

So, first side is 37 cm

Second side is 37+1=38 m

Third side is 37+2=39 m

Hence, this is the required solution.