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SAS Inequality Theorem the hinge theorem states that if two sides of one triangle are congruent to two sides of another triangle, and the included angle of the first is larger than the included angle of the second, then the third side of the first triangle is longer than the third side of the second triangle.

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Q: What is the Hinge Theorem is based on?
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Related questions

Why the name hinge theorem is used for theorem?

The theorem emulates the action of a hinge. As the angle of the hinge is increased the distance between the free edges increases.


Why is hinge theorem called hinge theorem?

because it works like a door hinge. When the door hinge is opened wider the angle is greater and when opened less the angle would be lesser.


what- can the hinge theorem be used to compare QRT?

no


Which angles can be compared using the Hinge Theorem?

UVT


Is this statement true or falseThe Converse of the Hinge Theorem can be used to determine exact measures of angles?

false


Is this statement true or falseThe Hinge Theorem can be used to compare side measures of two triangles?

true


How do you solve a remainder theorem?

You cannot solve a theorem: you can prove the theorem or you can solve a question based on the remainder theorem.


What is the name of the theorem on which the distance formula is based?

Pythagoras' theorem :)


Is this statement true or falseThe Hinge Theorem states that the largest side of a triangle will be opposite the largest angle?

false


What is the hinge theorem?

The hinge theorem in geometry states that if two sides of one triangle are congruent to two sides of another triangle, and the included angle of the first is larger than the included angle of the second, then the third side of the first triangle is longer than the third side of the second triangle


How do you do Pythagoras theorem in square based pyramids?

There are no right angles in a square based pyramid, so Pythagoras and his theorem are not involved.


What is the converse of the Hinge Theorem?

Converse of the Hinge Theorem:If tow sides of one triangle are congruent to two sides of another triangle and the the included angles are not congruent, then the included angle that is larger has the longer third side across from it.