Macro Triangle AH

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.

Usage

Copy the macro Triangle AH complete in the Python console FreeCAD

Script

ToolBar Icon

Macro_triangleAH.FCMacro

__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 :