|
geom3d[altitude] - find the altitude of a given triangle
|
|
Calling Sequence
|
|
altitude(hA, A, ABC, H)
|
|
|
Parameters
|
|
|
hA
|
-
|
the A-altitude of ABC
|
|
A
|
-
|
vertex of ABC
|
|
ABC
|
-
|
triangle
|
|
H
|
-
|
(optional) name
|
|
|
|
|
|
Description
|
|
|
•
|
An altitude from the vertex A of a triangle ABC is a line segment (or its extension) from vertex A perpendicular to the side BC.
|
|
•
|
If the optional argument H is given, the object returned (hA) is a line segment AH where H is the projection of A onto the side BC. If it is not given, the object returned is a line passing through A and is perpendicular to the side BC.
|
|
•
|
For a detailed description of the altitude hA, use the routine detail (i.e., detail(hA);)
|
|
•
|
The command with(geom3d,altitude) allows the use of the abbreviated form of this command.
|
|
|
|
Examples
|
|
|
>
|
|
Define triangle ABC with vertices A, B and C.
|
>
|
![triangle(ABC, [point(A, 0, 0, 0), point(B, 2, 0, 0), point(C, 1, 3, 0)])](/support/helpjp/helpview.aspx?si=5936/file03996/math125.png)
|
Find the altitude of ABC at A
|
>
|
|
|
| (1) |
|
>
|
|
|
| (2) |
|
>
|
|
|
Warning, assume that the parameter in the parametric equations is _t
Warning, assuming that the names of the axes are _x, _y, and _z
| |
|
| (3) |
|
>
|
|
|
| (4) |
|
>
|
|
|
| (5) |
|
>
|
|
|
| (6) |
|
>
|
|
|
![[A, H]](/support/helpjp/helpview.aspx?si=5936/file03996/math180.png)
| (7) |
|
|
Download Help Document
Was this information helpful?
