The smallest perimeter is 72.44 inches. The longest side of an acute triangle measures 30 inches. The two remaining sides are congruent, but their length is unknown. As much as possible, the sum of the length of the two remaining side must be greater than the other side. Given the side is 30, then the sum of the two remaining sides should be greater than 30 inches.
The smallest possible perimeter of the triangle is 72.4 in.
A triangle is a three-sided polygon with three vertices and three angles. An acute triangle is a triangle in which the three angles are acute (less than 90 degrees).
The perimeter is the sum of the length of the three sides of the triangle. Since the longest side measures 30 inches, the other sides must measure greater than 30 inches. Thus, the perimeter must exceed 60 inches.
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