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

Explanation

Side of an equilateral triangle is 9cm.

Perimeter of an equilateral triangle = `3*9`

perimeter=`27`cm

Let us assume three sides of an equilateral `triangle ABC` be x,x+1,x-1

Perimeter of `triangle` ABC =`x+x+1+x-1`

`27=3x`

`x=9` cm

Hence, sides of the triangle are 8cm, 9cm and 10cm.

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