Question

The length of the sides of a triangle are consecutive integers. If triangle has the same perimeter as an equilateral triangle with a side of length 9cm, what is the length of the shortest side??

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

Perimeter of an equilateral triangle is (3×9)27 cm .

Let three sides be s-1 , s , s+1

Perimeter of triangle = s-1 + s + s+1

=> 27 cm = 3s

=> s = 27/3 cm

=> s = 9 cm

Length of shortest side = s-1 => 9-1

=> 8 Ans.

HOPE IT HELPS

PLEASE MARK ME BRAINLIEST ☺️