Macro_Triangle_AH.md

Macro Triangle AH

{{Macro |Name=Macro Triangle AH |Icon=Macro_Triangle_AH.png |Description=This macro create one triangle creates a triangle by giving the head angle and the height of the triangle. The new triangle is created in the real coordinate.
{{ColoredText|(Command line, paste this complete macro in the Python console)}}. |Author=mario52 |Version=00.03 |Date=2019/07/02 |FCVersion=All |Download=[https://www.freecadweb.org/wiki/images/4/41/Macro_Triangle_AH.png ToolBar icon] }}

Description

This macro create one isosceles triangle by giving the head angle and the height of the triangle (the triangle of the head is positioned to the xyz coordinates 0.0.0)

Use

Copy the macro Triangle AH complete in the Python console FreeCAD

Script

ToolBar Icon

Macro_triangleAH.FCMacro

{{MacroCode|code= title = "triangleAH" author = "Mario52" version = "00.03" date = "2019/07/02"

Give angle and on choice : height or base or hypo

from math import cos, sin, tan, degrees, radians, sqrt import Draft, Part def triangleAH(angle, height=0.0, base=0.0, hypo=0.0): def line_length(x1 = 0.0, y1 = 0.0, z1 = 0.0, length = 10.0, angle2 = 0.0): # search coordinates x2 = x1 + (length * cos(radians(angle2))) y2 = y1 + (length * sin(radians(angle2))) z2 = z1 #+ () return x2,y2,z2 # return coordinates (xyz) to point

x0 = y0 = z0 = 0.0
angle = float(angle)
height = float(height)
base = float(base)
if base != 0:
    height = ( (base/2) / (tan(radians(angle/2))) )                          # imposing base and calculate height
if hypo != 0:
    height = hypo * (cos(radians(angle/2)))                                  # imposing hypo and calculate height 
else:
    hypo = height / cos(radians(angle/2))                                    # calculate hypotenuse
if base==0:                                                                  # base of triangle
    base = (tan(radians(angle/2) ) * height) * 2                             # calculate base
a0 = line_length(x1=x0,y1=y0,z1=z0,length=height,angle2=0 )                  # coord height of triangle
a0 = line_length(x1=x0,y1=y0,z1=z0,length=0, angle2 = angle )                # point 0 (begin vertex)
a  = line_length(x1=a0[0],y1=a0[1],z1=a0[2],length= hypo, angle2=-(angle/2)) #
b  = line_length(a[0],a[1],a[2],length= (abs(a[1])*2), angle2=90.0)          # base of triangle = (abs(a[1])*2)
##
print()
print("angle theet : ", angle)
print("angles base : (", (180.0-angle)/2.0,"),(",(180-angle)/2.0,")")
print("height      : ", height)
print("base        : ", base)
print("hypotenuse  : ", hypo)
print("surface     : ", (base * height) / 2.0)
print("_________________________")
Draft.makeWire([FreeCAD.Vector(a0),FreeCAD.Vector(a),FreeCAD.Vector(b)],closed=True,face=True,support=None) # create triangle
App.ActiveDocument.recompute()

#Example #triangleAH(angle=90, height=10) #triangleAH(90, 10) #triangleAH(45, hypo=10)

}}

Example

triangleAH(angle=90, height=10)
# or
triangleAH(90, 10)
# or
triangleAH(45, hypo=10)
# or
triangleAH(90, base=10)

Version

ver 00.03 2019/07/02 add "App.ActiveDocument.recompute()" and convert Py3

ver 00.02 03/05/2015 : adding "base=0.0", "hypo=0.0" and print data of triangle

ver 00.01 20/03/2015 :

---

documentation index > Macro Triangle AH