SOLUTION: The longest side of an acute triangle measures 30 inches. The two remaining sides are congruent, but their length is unknown. What is the smallest possible perimeter of the tria

Question 1038406: The longest side of an acute triangle measures 30 inches. The two remaining sides are congruent, but their length is unknown.
What is the smallest possible perimeter of the triangle, rounded to the nearest hundredth?

Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
the triangle has a base that is 30 inches in length.
the two congruent sides have to be greater than 15 inches each in length.
if they were 15 inches each in length, then they would collapse onto the base of the triangle and be a straight line.
if you assume that the straight line cannot be considered a triangle with the vertex at 180 degrees and the side angles at 0 degrees, then the length of each of the congruent sides has to be greater than 15 inches by the smallest increment imaginable.
assume each measures 15.001
the perimeter would be 30 + 2 * 15.001 = 30 + 30.002 which would be equal to 60.002.
round this to the nearest hundredth and you get 60.00.

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