altitude - Maple Help
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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

(1)

(2)

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

(3)

(4)

(5)

(6)

(7)

See Also

geometry[bisector]

geometry[median]

geometry[triangle]

 


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