Comparing Angles and Sides in Triangles Loading... Found a content error?
We have seen how inequalities can be applied to the sides and angles of a single triangle. Now, we will take a look at how inequalities can be put to work between two triangles.
The "included angle" is the angle formed by the two sides of the triangle mentioned in this theorem.
Remember that the key fact in applying this theorem is that the two sides forming the angle will be of the same length in both triangles. The converse of this theorem is also true.
If we return to the alligator analogy, the converse of the Hinge Theorem would tell us that the wider the alligator opens his mouth (EF > BC), the larger the angle he creates at the hinge of his jaw (m∠D > m∠B). If EF > BC, then m∠D > m∠B.
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