An isosceles triangle has at least two congruent sides. The perimeter of a certain isosceles triangle is at most 12 inches. The length of the two congruent sides is 5 inches. What is the possible length of the remaining side?
A. S is greater than or equal to 5 but is less than 12
B. S is less than or equal to 12 but greater than 0
C. S is less than or equal to 10 but greater than 0
D. S is less than or equal to 2 but greater than 0
The possible length of the remaining side is less than or equal to 2 but greater than 0.
Explanation:An isosceles triangle has two congruent sides. In this case, the length of the congruent sides is 5 inches each. The perimeter of the triangle is at most 12 inches. Let's denote the length of the remaining side as S. Since the perimeter is the sum of all sides, we can set up an equation: 2(5) + S ≤ 12. Solving this inequality, we find that S ≤ 2.
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