How To Construct The Altitudes Of A Triangle Вљї -

: The orthocenter is exactly at the vertex of the right angle.

: Place the compass point on a vertex (e.g., vertex

: Use a straightedge to draw a line from vertex through point How to Construct the Altitudes of a Triangle вЉї

. The segment from the vertex to the base line is the . Licensed by Google The Orthocenter

To construct the altitude of a triangle, you essentially perform a geometric construction of a from a vertex to the opposite side (the base) . Step-by-Step Construction : The orthocenter is exactly at the vertex

). Open the compass wide enough so that when you draw an arc, it intersects the opposite side ( BCcap B cap C ) at two distinct points.

: The orthocenter lies outside the triangle (you must extend the side lengths to find the intersections). Licensed by Google The Orthocenter To construct the

When you repeat this process for all three vertices, the three altitudes will intersect at a single point called the . Depending on the type of triangle, the orthocenter's location varies: Acute Triangle : The orthocenter is inside the triangle.