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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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6.1 Inequalities and Indirect Proofs. Up until now we have dealt with sides and angles that are ___________ and have used the properties of _________.

6.1 Inequalities and Indirect Proofs. Up until now we have dealt with sides and angles that are ___________ and have used the properties of _________.

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