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5.5 INEQUALITIES IN TRIANGLES (PART TWO)

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Think back…. What do we remember about the exterior angles of a triangle?

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What is the largest angle shown?

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Also remember that corollaries flow directly from theorems…

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Why is m<4 is greater than m<5?

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Try this….

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Triangle Inequality Theorem

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Are Triangles Possible With these Lengths?

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Got that?

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What if I only know 2 Sides? What are all the possible lengths of the third side of a triangle if the other sides are 9 in and 17 in? Lets say the third side is the Largest Side. 9 + 17 > x 26 > x Lets say the third side is the Smallest Side. x + 9 > 17 x > 8

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A Triangles sides are 3 in and 12 in. What could the third side be? Say x is a smaller side. Say x is the Largest Side

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4.7 Triangle Inequalities. In any triangle… The LARGEST SIDE lies opposite the LARGEST ANGLE. The SMALLEST SIDE lies opposite the SMALLEST ANGLE.

4.7 Triangle Inequalities. In any triangle… The LARGEST SIDE lies opposite the LARGEST ANGLE. The SMALLEST SIDE lies opposite the SMALLEST ANGLE.

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