The midline of an equilateral triangle ABC is 8 cm. Find the perimeter of this triangle.

A triangle is three points that do not lie on one straight line, connected by segments. In this case, the points are called the vertices of the triangle, and the segments are called its sides.

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

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:

A1B1 = AB / 2;

AB = A1B1 * 2;

AB = 8 2 = 16 cm.

Since our triangle is equilateral, then AB = BC = AC = 16 cm.

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

P = AB + BC + AC;

P = 16 + 16 + 16 = 48 cm.

Answer: The perimeter of the triangle is 48 cm.