Question

the perimeter of a triangle is 51cm. The lengths of its side are x cm, x+2 cm, and x+4 cm. what is the length in cm of the longest side of the triangle

Answer 1

Answer:

19 cm

Step-by-step explanation:

The perimeter is 51cm

The side lengths are x, x+2, and x+4

To find perimeter, we add all the side lengths.

Therefore, the equation we would use is the following:

x + x+2 + x+ 4 = 51

Then we solve for x

3x + 6= 51

Subtract 6 on both sides

3x = 45

divide by 3

x=15

Now, x is the smallest side, and we are trying to find the longest side,

So we plug in x for the longest length:

(15) + 4= 19

19cm is the longest side of the triangle.