1 Inequalities In Two Triangles. Hinge Theorem: If two sides of 1 triangle are congruent to 2 sides of another triangle, and the included angle of the.

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Presentation transcript:

1 Inequalities In Two Triangles

Hinge Theorem: If two sides of 1 triangle are congruent to 2 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 is longer than the third side of the second. 88 A C B 35 Z Y X

Converse of the Hinge Theorem: If 2 sides of 1 triangle are congruent to 2 sides of another triangle, and the third side of the first is longer than the third side of the second, then the included angle of the first is larger than the included angle of the second. 9 Z Y X 12 A C B

Solve for x.