Show an equilateral triangle with the lengths of its side given in terms of a and b = 4cm 3cm hence find the length of the triangle with the perimeter given as (a+b+3)cm

To show an equilateral triangle with side lengths given in terms of a and b, we can let the side length be equal to a + b + 3 cm.

Since an equilateral triangle has all sides equal in length, we know that each side of the equilateral triangle is equal to (a + b + 3) cm.

[Visual representation of an equilateral triangle with side lengths (a + b + 3) cm]

To find the length of the triangle with the perimeter given as (a + b + 3) cm, we can use the fact that the perimeter of any polygon is equal to the sum of all its side lengths.

Perimeter of the triangle = (a + b + 3) cm + (a + b + 3) cm + (a + b + 3) cm

Simplifying, we get:
Perimeter of the triangle = 3(a + b + 3) cm

So, the length of the triangle with the given perimeter is 3(a + b + 3) cm.