Question

The triangle shown has a perimeter of 13 units. The variable x has a

positive value.
Jenny says the length of the missing side of the triangle is 5 units, no
matter what the value x is.
2x+1
?
7-2x
Perimeter: 13 units
Do you agree or disagree? Show your work and explain your thinking.

Answer 1

To determine whether Jenny's statement is true, we can set up an equation using the given information about the perimeter:

perimeter = sum of all three sides

13 = 2x + 1 + 5 + 7 - 2x

Simplifying the equation, we get:

13 = 13

This is true, meaning that the equation is true for all values of x. Therefore, we can conclude that Jenny's statement is correct: the length of the missing side of the triangle is 5 units, no matter what the value of x is.