Special Right Triangles Altitude

Median

Perpendicular Bisector

Angle Bisector

Altitude

A segment that passes through the middle of the triangle.

A segment with endpoints at the vertex and midpoint of the opposite side.

A segment that connects two midpoints of two sides.

A segment that connects the vertex and the opposite side at 90 degrees. 

altitudes

perpendicular bisectors

medians

angle bisectors

XY

BY

AZ

XC

(1)

(2)

(3)

(4)

4√5

8

4√15

2√5

Perpendicular Bisector 

Altitude

Median

Midsegment

perpendicular bisectors

medians

altitudes

angle bisectors

$$\overline{BH}$$ is perpendicular to $$\overline{AC}$$

$$m\angle ABH=90\degree$$

$$\Delta CBH$$ is a right triangle

$$\overline{AH}\ \cong\overline{HC}$$

$$m\angle CHB=90\degree$$