WHAT LENGTHS OF BASE WILL ALLOW THE PERIMETER TO BE GREATER THAN 19 CM

## ONE SIDE OF TRIANGLE IS 2CM SHORTER THAN BASE. OTHER SIDE IS 3 CM LONGER THAN BASE.

Tutors, please sign in to answer this question.

# 1 Answer

The perimeter is the distance around a closed plane figure. The perimeter, P, of a triangle is given by the formula P = a + b + c , where a, b and c are the lengths of sides of the triangle.

~~~~~~~~~~~~~

Let's assume that length of base is "b", then length of shorter side will be (b-2), and length of longer side will be (b+3) , then P = (b-2) + b + (b+3) > 19

3b - 2 + 3 > 19

3b + 1 > 19

- 1 - 1

3b > 18 ------> 3b/3 > 18/3 -----------> b > 6