geometry - Maple Help

Online Help

All Products    Maple    MapleSim


Home : Support : Online Help : Mathematics : Geometry : 2-D Euclidean : Triangle Geometry : geometry/altitude

geometry

  

altitude

  

find the altitude of a given triangle

 

Calling Sequence

Parameters

Description

Examples

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))

• 

Note that the routine only works if the vertices of the triangle are known.

• 

The command with(geometry,altitude) allows the use of the abbreviated form of this command.

Examples

withgeometry:

triangleABC,pointA,0,0,pointB,2,0,pointC,1,3:

altitudehA1,A,ABC

hA1

(1)

formhA1

line2d

(2)

detailhA1

assume that the names of the horizontal and vertical axes are _x and _y, respectively

name of the objecthA1form of the objectline2dequation of the line_x+3_y=0

(3)

altitudehA2,A,ABC,H

hA2

(4)

formhA2

segment2d

(5)

detailhA2

name of the objecthA2form of the objectsegment2dthe two ends of the segment0,0,95,35

(6)

DefinedAshA2

A,H

(7)

See Also

geometry[bisector]

geometry[median]

geometry[triangle]

 


Download Help Document

Was this information helpful?



Please add your Comment (Optional)
E-mail Address (Optional)
What is ? This question helps us to combat spam