# Midsegment Theorem

How to use the midsegment theorem to find the midsegment of a triangle: definition, theorem, example, and its solution.

## Definition

The midsegment of a triangle

is a line segment

that connects the midpoints of two sides.

Midpoint formula

## Theorem

The midsegment theorem says that

the midsegment has two properties.

1. The midsegment and the opposite side

are parallel.

2. [midsegment] = (1/2)[opposite side]

## Example

The blue segment

connects the midpoints of two sides.

So the blue segment

is the midsegment of the given triangle.

(midsegment) = *x*

(opposite side) = 12

So, by the midsegment theorem,*x* = (1/2)⋅12.

(1/2)⋅12 = 6

So *x* = 6.