The longest length side of an acute isosceles triangles is 12 centimeters. Rounded to the nearest tenth, what is the smallest possible length of one of the two congruent sides

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Answer:

8.5

Step-by-step explanation:

Given that;

The longest side of an acute isosceles triangle = 12 centimeters

Since the two remaining sides are congruent, then they both have the same length ;

Let the length of the two remaining sides = 2x,

The length of each side :

Length of longest side / sqrt(2)

x = 12 /sqrt(2)

x = 12 / 1.4142135

x =8.4852813

x = 8.5