Midsegment of a Triangle

Midsegment of a Triangle

How to solve the midsegment of a triangle problems: definition, property, formula, example, and its solution.

Definition

The midsegment of a triangle is a line segment whose endpoints are the midpoints of two sides.

The midsegment of a triangle is a line segment
whose endpoints are the midpoints of two sides.

Property, Formula

1. The midsegment and the opposite side are parallel. 2. The measure of the midsegment is one half the measure of its opposite side.

The midsegment has two properties.

1. The midsegment and the opposite side are parallel.

2. The measure of the midsegment is
one half the measure of its opposite side:
(blue) = (1/2)⋅(purple)

Example

Find the value of x. The measure of the midsegment: x. The measure of its opposite side: 12.

The blue segment is the midsegment.
And its opposite side is 12.

So x = (1/2)⋅12.