# What is the relationship between corresponding sides, altitudes, and medians in similar triangles?

##### 1 Answer

Dec 6, 2015

The ratio of their lengths is the same.

#### Explanation:

Similarity can be defined through a concept of *scaling* (see Unizor - *"Geometry - Similarity"*).

Accordingly, all linear elements (sides, altitudes, medians, radiuses of inscribed and circumscribed circles etc.) of one triangle are *scaled* by the same *scaling factor* to be congruent to corresponding elements of another triangle.

This *scaling factor* is the ratio between the lengths of all corresponding elements and is the same for all elements.