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5.5 INEQUALITIES IN TRIANGLES

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Review… Likewise, the smallest angle is always opposite the shortest side!

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Help Mr. Tessalone! Mr. Tessalone wants to build a bench in the largest corner of his triangular deck.

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Help Mr. Tessalone! Which angle should he build it in and why? He should build it at angle B – it is across from the longest side.

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Help Mr. Tessalone! What if he wants to put a plant in the smallest angle? Where would that go and why? He should build it in angle A – it is across from the shortest side.

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What if there is no diagram? Check your work by creating a diagram!

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Think… Could we have a case where there is not one specific angle that is the largest/smallest? Yes, if it is an isosceles or equilateral triangle!

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What if we knew angle measures… Could we find the largest side? Yes! Could we find the smallest side? Yes!

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Converse to Theorem 5-10 Likewise, the shortest side is always opposite the smallest angle!

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List The Sides From Longest to Shortest! First, you need to find the measure of

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List the sides in order from shortest to longest.

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