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n Your Turn Use the Triangle Inequality Theorem to tell whether a triangle can have...

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n Your Turn Use the Triangle Inequality Theorem to tell whether a triangle can have the following sides with the given lengths Explain 1 12 units 4 units 17 units EXPLAIN 3 largest angle Read Explain 3 and complete Your Turn 1 2 adapted from Lesson 7 3 Show all your work In relation to each other the relative size of the side lengths of a triangle can be used to determine the relative size of the angles This means that if you are given the side lengths in order you can use them to order the angle by size largest side Ordering a Triangle s Angle Measures Given Its Side Lengths Side Angle Relationships in Triangles 2 24 cm 8 cm 30 cm Embr medium side medium angle In any triangle the larger angle is opposite the longer side AB AC BC SO mzC m2B mzA B Example For each triangle order its angle measures from least to greatest In the figure we see that the sides from shortest to longest are AB BC and AC The angles opposite these sides are LC LA and LB respectively So the order of angles from least to greatest is LC LA and LB shortest angle shortest side 2 4 15 3 A C 12

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