The smallest possible length of one of the two congruent sides rounded to the nearest tenth is 6.1 cm and it can be determine by using triangle inequality theorem.
Given :
The longest side of an acute isosceles triangle is 12 centimeters.
According to the triangle inequality theorem, the third side of the triangle is less than the sum of the other two sides of the triangle.
Triangle is isosceles therefore, two shorter sides are equal. Let x be the shorter side than according to the triangle inequality theorem:
x + x > 12
2x > 12
x > 6
The smallest possible length of one of the two congruent sides is 6.1 cm rounded to the nearest tenth.
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https://brainly.com/question/8222562
