1 Inequalities In Two Triangles. Hinge Theorem: If two sides of 1 triangle are congruent to 2 sides...
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1 Inequalities In Two Triangles
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Transcript of 1 Inequalities In Two Triangles. Hinge Theorem: If two sides of 1 triangle are congruent to 2 sides...
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1
Inequalities
In Two
Triangles
![Page 2: 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.](https://reader036.fdocuments.net/reader036/viewer/2022082816/56649d8b5503460f94a7190f/html5/thumbnails/2.jpg)
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.
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A
C
B
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Z
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X
![Page 3: 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.](https://reader036.fdocuments.net/reader036/viewer/2022082816/56649d8b5503460f94a7190f/html5/thumbnails/3.jpg)
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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
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C
B
![Page 5: 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.](https://reader036.fdocuments.net/reader036/viewer/2022082816/56649d8b5503460f94a7190f/html5/thumbnails/5.jpg)
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Solve for x.
![Page 7: 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.](https://reader036.fdocuments.net/reader036/viewer/2022082816/56649d8b5503460f94a7190f/html5/thumbnails/7.jpg)