Shop Solver

Triangle Solver

Command path:  Tools->Triangle Solver
The purpose of this tool is to determine the lengths of the 3 sides and the angles of the 3 vertices of any triangle.  The user supplies 3 known lengths or angles in any combination and the tool calculates the remaining 3.  The combination of known values must include the length of at least 1 side.  It is not possible to solve a triangle where the only known values are the angles of the 3 vertices.


The Triangle Solver tool is shown below:



Instructions for entering the known data are shown at the top of the tool.  A default triangle is drawn below the instructions.  The sides are labeled with the lowercase letters "a", "b" and "c".  The vertices are labeled with the uppercase letters "A", "B" and "C".  Note that the labels for the sides are the lowercase letters of the vertices opposite of them.

Click on a label or type its name to set the value of any side or vertex.  An entry field will be displayed allowing you to specify the value of the label.  Enter the value then press the Enter key.  Click on a label again to change its value.  To cancel an entry press Enter or press Escape or click anywhere on the tool.  When 3 values have been set the triangle will redraw showing the solution.  Once the solution has been determined no more values may be entered or changed until the Reset  button is clicked.

There are 2 radio buttons below the triangle labeled Solution 1  and Solution 2.
The buttons are disabled until the triangle is fully solved.  Some triangles have 2 solutions.  If the triangle has only 1 solution then only the Solution 1  button will be enabled.  If the triangle has 2 solutions then both buttons will be enabled and the triangle will turn bright green to signify that there are 2 solutions.  Each solution may be displayed by clicking the solution 1 or 2 button.

Once the triangle is solved the values of the sides and vertices are displayed below the solution buttons.  In addition the area and the perimeter length of the triangle are shown, as are the XY coordinates of each vertex.  To create a Point from any vertex right-click on a vertex on the triangle or on a vertex label at the bottom of the tool (immediately above the Reset  button).  Then click on the "Create Point..." pop-up menu.  The Shop Solver point defintion tool will be displayed where you can enter a name for the point and save the definition to memory.

Reset Button
The Reset button clears all of the fields on the tool and redraws the default triangle image.