When Can SSA Actually Prove Triangles Congruent?
- Author:
- K. DeVizia, talljerome
This depicts the SSA case for triangles, in which two sides and one of their opposite angles are given.
In its default state shown, the side length "a" is clearly not long enough to form a real triangle.
Adjust the slider for "a" until it is just long enough to form one triangle.
What happens when the length of "a" grows longer than that minimum length?
So, does SSA guarantee that a triangle must be congruent to another triangle with the same two side lengths and the same angle not between those sides?
In what special case is there only one triangle shape possible? What kind of triangle is that?
So, the only time SSA works is on that kind of triangle.