Question

The perimeter of a triangle is 102 cm. The lengths of its sides are consecutive even integers. Find the length of the shortest side

Answer 1

Answer is 32 cm

Step by step

We are looking for “even”
Integers so each consecutive number is + 2.

So

X

X + 2

X + 4

Your equation is

x + x + 2 + x + 4 = 102

3x + 6 = 102

Subtract 6 from both sides to isolate your variable.

3x + 6 - 6 = 102 - 6

3x = 96

Now divide both sides by 3 to solve for x

3/3 x = 96/3

X = 32

X + 2 = 34

X + 4 = 36

32 + 34 + 36 = 102

Problem solved!