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5.7 Inequalities for two triangles
-SSS Inequality -SAS Inequality
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12 12 9 9 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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Theorem: SSS Inequality Theorem
B A 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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