Question

the lengths of the side of triangle ABC are consecutive integers. If triangle ABC have the same perimeter as an equilateral triangle with a side of lengths 9cm, what is the lengths of the shortest side of triangle AND?

Answer 1

Hey here is your answer

according to question

perimeter of triangle ABC = perimeter of equilateral triangle of length 9cm

so ,

x + x + 1 + x + 2 = 3a = 3(9)
3x + 3 = 3(9)
3(x + 1) = 3(9)
x + 1 = 9
x = 9-1=8
The shortest side is x = 8

pls mark as brainliest

Answer 2

Answer:

8 cm

Step-by-step explanation:

Let the shortest side be 'x'

Then other 2 sides x+1, x+2

Perimeter of equilateral triangle= 3*9=27cm

x+x+1+x+2=27

3x+3=27

3x=27-3=24

x=24/3

x=8cm