The perimeter is 7 dm
we know that
The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side.
c> the length of the third side
4 > c
The solution for c is the interval> (2,4)
the value of c must be equal to
c=3 dm (because is an integer)
The perimeter is equal to
One side is 1 dm while the other is 3 dm, so first you should add 1 and 3 together, and you get 4. you know that the answer has to be an integer. if this is an isosceles triangle then the last side has to be either 1 or 3. the last step is to add all three sides together.
To find the perimeter you add the lengths of all 3 sides.
To show this as an algebraic expression, you would put 1 dm + 3 dm + x.
This will simplify to x + 4 dm, where x is the length of the missing side (in decimeter).