The Compendium Geometry is an eBook providing facts, formulas and explanations about geometry. 
Home Analytic Geometry Triangle Altitudes of a Triangle  
See also: Construction of a Triangle, Properties of a Right Triangle, Circumcircle of a Triangle, Excircle of a Triangle  
Search the VIAS Library  Index  
Altitudes of a TriangleThe heights (or altitudes) h_{a}, h_{b}, and h_{c} of a triangle are the perpendiculars through the corner points to the opposite sides. All three altitudes intersect at the orthocenter H. The position of H depends on the form of of the triangle:
The following equations are valid for the relations between the altitudes, the angles and sides:
h_{a} = bsin γ = csin β There are a two theorems concerning the altitudes of a triangle which can be used to construct triangles:


Home Analytic Geometry Triangle Altitudes of a Triangle 