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5.5 INEQUALITIES IN TRIANGLES. Review… Likewise, the smallest angle is always opposite the shortest side!

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Presentation on theme: "5.5 INEQUALITIES IN TRIANGLES. Review… Likewise, the smallest angle is always opposite the shortest side!"— Presentation transcript:

1 5.5 INEQUALITIES IN TRIANGLES

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

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

4 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.

5 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.

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

7 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!

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

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

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

11 List the sides in order from shortest to longest.


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