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

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5.5 INEQUALITIES IN TRIANGLES

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

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

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.

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.

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

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!

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

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

List The Sides From Longest to Shortest! First, you need to find the measure of { "@context": "http://schema.org", "@type": "ImageObject", "contentUrl": "http://images.slideplayer.com/9/2491924/slides/slide_10.jpg", "name": "List The Sides From Longest to Shortest. First, you need to find the measure of

List the sides in order from shortest to longest.

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