# The middle lines of the triangle are 2: 2: 4, and the perimeter of the triangle is 48cm. Find the sides of the triangle?

August 29, 2021 | education

| From the condition it is known that the middle lines of the triangle are 2: 2: 4, and the perimeter of the triangle is 48 cm.

Let’s remember the triangle centerline theorem. It says that the middle line is parallel to one of the sides and is equal to half of this side.

That is, the side of the triangle is 2 times the midline parallel to it.

Let’s introduce the proportionality coefficient. 2k; 2k and 4k midlines.

4k; 4k and 8k are the sides of the triangle.

4k + 4k + 8k = 48;

16k = 48;

k = 3.

Sides of a triangle:

4 * 3 = 12 cm;

4 * 3 = 12 cm;

8 * 3 = 24 cm.