5 Special Lines in a Triangle
<p>Since a triangle has three sides and vertices, it also has three altitudes, medians, perpendicular bisectors, internal angle bisectors, and external angle bisectors. For example, the altitude, median, perpendicular bisector, internal angle bisector, and external angle bisector corresponding to the vertex <em>A</em> of △<em>ABC</em> is shown respectively as <em>a</em>, <em>b</em>, <em>c</em>, <em>d,</em> and <em>e</em> in <strong>Figure 1.2</strong>. Often we call an internal angle bisector simply an angle bisector without emphasizing it is for an internal angle.</p>
<p><img alt="" src="https://miro.medium.com/v2/resize:fit:402/1*mWTrcaF3LAAFJX0J2W339g.png" style="height:300px; width:402px" /></p>
<p>Figure 1.2</p>
<p>All these special lines are also called <em>cevians</em>, named after an Italian mathematician <a href="https://en.wikipedia.org/wiki/Giovanni_Ceva" rel="noopener ugc nofollow" target="_blank">Giovanni Ceva</a>. In general,</p>
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