Hinge Theorem
The hinge theorem says that if two triangles DeltaABC and DeltaA^'B^'C^' have congruent sides AB=A^'B^' and AC=A^'C^' and ∠A>∠A^', then BC>B^'C^'.
This entry contributed by Floor van Lamoen
Explore with Wolfram|Alpha
WolframAlpha
More things to try:
Cite this as:
van Lamoen, Floor. "Hinge Theorem." From MathWorld--A Wolfram Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/HingeTheorem.html