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In this lesson, we will learn how to use the hinge theorem.

Q1:

Consider the following two triangles.

Length π is congruent to π and length π is congruent to π . Given that π is greater than π , what does the hinge theorem tell us about the lengths π and π ?

Q2:

Given that , use the hinge theorem to find the range of all possible values of in the figure.

Q3:

Consider triangles and in the figure.

Without completing any calculations, use the hinge theorem to determine whether is greater than, less than, or equal to .

Q4:

Given that πΆ πΈ = 5 π₯ β 1 1 and πΆ π΅ = 9 , find the range of all possible values of π₯ using the Hinge theorem.

Q5:

In the figure, . Use the hinge theorem to find the range of all possible values of .

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