Basic Examples (5) 

There are two triangles with the specified angle, side, side for this example:

In[1]:=

Out[1]=

The triangles above are the black outline and the gray triangle below:

In[2]:=

Out[2]=

The next two cells verify that both triangles above have the specified angle, side, side:

In[3]:=

Out[4]=

In[5]:=

Out[6]=

Only one triangle has the specified angle side, side in this example:

In[7]:=

Out[7]=

In[8]:=

Out[8]=

The next cell verifies the triangle above has the specified angle, side, side:

In[9]:=

Out[10]=

ASSTriangles always returns one obtuse triangle when the specified angle is 90° or greater and the third argument is greater than the second argument. An example is in the next cell:

In[11]:=

Out[11]=

In[12]:=

Out[12]=

The next cell verifies the triangle above has the specified angle, side, side:

In[13]:=

Out[14]=

The next example makes a (3,4,5) right triangle:

In[15]:=

Out[15]=

In[16]:=

Out[16]=

The next cell verifies the triangle above has the specified angle, side, side:

In[17]:=

Out[18]=

The next example is a case where no triangle has the specified angle, side, side:

In[19]:=

Out[19]=

In this example we would have a right triangle if the last argument of ASSTriangles was 6 Sin[40°]≈3.85673. The next graphics illustrates why no triangle has the angle, side, side specified in the last example:

In[20]:=

Out[20]=

Scope (4) 

When ASSTriangles is given exact input it returns exact results:

In[21]:=

Out[21]=

When ASSTriangles is given values with many digits of precision it returns results with all digits that can be be justified:

In[22]:=

Out[22]=

When one or more argument is symbolic and non-numeric ASSTriangles does nothing to change the input:

In[23]:=

Out[23]=

We can use replacement rules to assign specific values for a, b in triangles above:

In[24]:=

Out[24]=

We can also use Blockto assign values to a, b in triangles above:

In[25]:=

Out[25]=

ASSTriangles displays an error message and returns the original input when given incorrect:

In[26]:=

Out[26]=

No message is displayed in the next example because it would give a list of Triangles if b had an appropriate value:

In[27]:=

Out[27]=

Neat Examples (1) 

The next example allows you to see the result of providing ASSTriangles any values for three arguments:

In[28]:=

Out[28]=