Explanation
Correct answer: 35.
It's given that the perimeter of an isosceles triangle is inches and that each of the two congruent sides has a length of inches. The perimeter of a triangle is the sum of the lengths of its three sides. The equation can be used to represent this situation, where is the length, in inches, of the third side. Combining like terms on the left-hand side of this equation yields . Subtracting from both sides of this equation yields . Therefore, the length, in inches, of the third side is .
Desmos solution:
Note: The regression sets the sum of the two congruent sides and the unknown third side equal to the perimeter.
Enter in Desmos:
Reviewed and rewritten by CookSAT