Question

try it!

1. use the figure shown.

a. what are the altitude and median that are shown in △abc?

Explanation:

Step1: Recall the definitions

An altitude of a triangle is a perpendicular segment from a vertex to the line containing the opposite side. A median of a triangle is a segment from a vertex to the midpoint of the opposite side.

Step2: Identify the altitude

In \(\triangle ABC\), since \(CE\perp AB\), \(CE\) is the altitude.

Step3: Identify the median

Since \(D\) is the mid - point of \(AC\) (as indicated by the tick marks on \(AD\) and \(DC\)), \(BD\) is the median.

Answer:

The altitude is \(CE\) and the median is \(BD\).