# Medians of Similar Triangles

How to find the medians of similar triangles: definition, example, and its solution.

## Definition

The median of a triangle

is a line segment

that connects

a vertex and the midpoint of the opposite side.

## Example

It says these two triangles are similar.

So write [ ~ ] between the triangles.

Then their medians and sides are proportional.

The medians are 4 and *x*.

The sides are 5 and 7.

So 4/*x* = 5/7.

Solve the proportion.

Then 5*x* is equal to, 4⋅7, 28.

Proportion

Divide both sides by 5.

Then *x* = 28/5.