The perimeter of an equilateral triangle is 24cm, find the length of the midline

An equilateral triangle is a triangle in which all three sides are equal:

AB = BC = AC.

The perimeter of a triangle is the sum of all its sides:

P = AB + BC + AC;

AB = BC = AC = P / 3;

AB = BC = AC = 24/3 = 8 cm.

The middle line of a triangle is a line segment that connects the midpoints of its two sides. The middle line of the triangle is parallel to the third side, and its length is half the length of this side:

m = 1/2 ∙ AC;

m = 8/2 = 4 cm.

Answer: The length of the middle line of the triangle is 4 cm.



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