Answer:
8
Step-by-step explanation:
the perimeter is the sum of the 3 sides of the triangle.
Given perimeter = 26 , then
2a - 3 + 2a + 3a + 1 = 26 , that is
7a - 2 = 26 ( add 2 to both sides )
7a = 28 ( divide both sides by 7 )
a = 4
then
shortest side = 2a - 3 = 2(4) - 3 = 8 - 3 = 5
longest side = 3a + 1 = 3(4) + 1 = 12 + 1 = 13
the difference between the 2 sides is 13 - 5 = 8
the longer side is 8 units bigger than the shortest side
