question_answer 1)

The side of an equilateral triangle is shown by \[l\]. Express the perimeter of the equilateral triangle using \[l\].

Answer:

                Let \[\Delta ABC\] is an equilateral triangle, where each side is denoted by \[l\]. i.e.          \[AB=BC=CA=l\] We know that, the perimeter of a triangle               = Sum of all the sides of a triangle       \[\therefore \] Perimeter of an equilateral triangle \[=AB+BC+CA=l+l+l=3l\]    Thus, the perimeter of an equilateral triangle using \[l\] can be expressed as \[3l.\]