Ty D. answered • 10/08/18

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Let's let A, B, C represent the sides of the triangle from shortest to longest, then:

A = ?

B = A + 2

C = A + 3

To find the perimeter we add all the sides p = A + B + C, and based on the problem

p = A + B + C

26 = A + (A + 2) + (A+3)

26 = 3A + 5

21 = 3A

7 = A

Now we can use the fact that A = 7 in, which is the shortest side, to find all three sides:

A = 7

B = 7 + 2 = 9

C = 7 + 3 = 10

The lengths of the sides are 7 in, 9 in, and 10 in.