# Midsegment of a Triangle Calculator

Welcome to Omni's **midsegment of a triangle calculator**! No matter if you are:

- Not sure what a midsegment of a triangle is;
- Wondering how to find the midsegment of a triangle using a
**compass and straightedge**; or - Struggling to understand what the
**midsegment theorem**is all about.

With this midsegment of a triangle calculator, you'll quickly become a midsegment expert! Let's start our journey with the **definition of a midsegment** of a triangle, shall we?

## What is a midsegment of a triangle?

In a triangle, the *midsegment* is a line that **connects the midpoints of two sides of this triangle**. And the *midpoint* of a side is the point that is **equidistant** from either vertex. Since a triangle has three sides and we can connect the midpoints of any two sides, **each triangle has three midsegments**.

#### Midsegment theorem

The most important property of midsegments is the following: *a midsegment is parallel to the side we did not use to draw this midsegment (called the base) and its length is equal to one-half of the length of this base.* This result is known under the name of

**triangle midsegment theorem**.

## How to find the midsegment of a triangle?

It follows directly from the definition of a midsegment of a triangle that in order to find the midsegment, you need to **connect the midpoints** of two sides. To **find the midpoints** with a compass:

- Put the needle on a vertex and
**draw an arc**with a radius greater than half the side. **Repeat**for the other vertex. Make sure the arcs have**two intersection points**.**Connect the intersection points**. The point where you intersect the side is exactly the**midpoint of this side**.

## How to use this midsegment of a triangle calculator?

Here's a quick guide on how to use this tool efficiently:

- Choose the
**mode**. Our midsegment of a triangle calculator can solve two types of problems:- Find the length of the midsegment
**given the length of the base**, and - Find the endpoints and length of the midsegment
**given triangle vertices**(their coordinates).

- Find the length of the midsegment
- Enter the
**necessary data**into the calculator. **Enjoy the result**!

## Other triangle calculators by Omni

For all you triangle freaks out there, here's a selection of other triangle tools you can visit:

## FAQ

### How long is the midsegment of a triangle?

The midsegment of a triangle theorem states that the length of the midsegment is always **half the length of the base**, i.e., the side of the triangle that is not touched by the midsegment.

### What is the midsegment formula for a triangle?

The midsegment formula says that the midsegment `DE`

connecting the sides `AB`

and `AC`

is parallel to the side `BC`

and is half as long as: `DE ∥ BC`

and `|DE| = ½|BC|`

.