Question

Justify: why does the Folder illustrate Hinge Theorem? ​

Answer 1

Answer:

This theorem is called the "Hinge Theorem" because it acts on the principle of the two sides described in the triangle as being "hinged" at their common vertex. ... (May also be referred to as the SSS Inequality Theorem.) ... We have seen how inequalities can be applied to the sides and angles of a single triangle. ...

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Answer 2

Answer:

In geometry, 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. This theorem is actually Propositions 24 of Book 1 of Euclid's Elements (sometimes called the open mouth theorem). The theorem states the following:

If two sides of one triangle are congruent, respectively, to two sides of a second triangle, and the included angle of the first triangle 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.

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