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The Hinge Theorem, also known as the Side-Angle-Side (SAS) Inequality, states that if two triangles have two sides equal in length and the included angle of one triangle is larger than the included angle of the other triangle, then the triangle with the larger angle will also have the longest third side. For example, in triangle ABC, if AB = AC and ∠A is larger than ∠D in triangle DEF where DE = DF, then BC > EF. Another example can be seen in comparing triangles with equal side lengths but differing angles, demonstrating that the triangle with the larger angle has a longer opposite side.
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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 is the Hinge Theorem is based on?
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.
What are some examples of an Pythagorean Theorem?
3^3+4^4=5^5
Is this statement true or falseThe Hinge Theorem can be used to compare side measures of two triangles?
true
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
Can you give me some examples of fixed joints in industry?
HINGE AND BALL AND SOCKET
What is the Hinge Theorem is based on?
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.
What are some examples of an Pythagorean Theorem?
3^3+4^4=5^5
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
What are 4 examples of your elbow?
hinge joint
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
