5.5 Inequal. in 1 triangle

5.5 Inequal. in 1 triangle - 5.5 Inequalities in one Pg 295...

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5.5 Inequalities in one Δ Pg 295
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In a Δ the longest side is opposite the largest , the shortest side is opposite the smallest . Ex: List the sides in order from shortest to longest. Seg AC, seg AB, seg BC A B C 115 o 25 o 40 o
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Thm 5.10 If one side of a Δ is longer than another side then the opposite the longer side is larger than the opp. the shorter side. A B C 6 3 If AB>AC, then m C >m B
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Thm 5.11 (converse of 5.10) If one of a Δ is larger than another then the side opposite the larger is longer than the side opp. the smaller . B A C 110 o 34 o If m A>m B, then BC>AC
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Example: list the s in order from biggest to smallest 2200 Z, X, Y X Y Z 8 5 6
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Thm 5.12 Exterior Inequality The measure of an exterior of a Δ is greater than the measure of either of the two non adjacent interior
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This note was uploaded on 02/12/2011 for the course MTG 3212 taught by Professor Jackson during the Spring '11 term at University of Florida.

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5.5 Inequal. in 1 triangle - 5.5 Inequalities in one Pg 295...

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