5.7 Inequalities for two triangles

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5.7 Inequalities for two triangles

• -SSS Inequality
• -SAS Inequality

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Theorem SAS Inequality Theorem If 2 sides of
one triangle are congruent to 2 sides of another
triangle, but 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
triangle.
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B
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Theorem SSS Inequality Theorem If 2 sides of one
triangle are congruent to 2 sides of another
triangle, but the third side of the first
triangle is longer than the third side of the
second triangle, then the included angle of the
first triangle is larger than the included angle
of the second triangle.
The SSS Inequality is the converse of the SAS
Inequality.
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Which angle should be bigger?
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