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Triangle Inequality Theorem Worksheet for math practice.

Triangle Inequality Theorem Worksheet with four sections: deciding if sets of numbers can form a triangle, finding the range of possible measures for the third side, naming the largest and smallest angles, and listing sides in order with underlined shortest length.

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1. (a) No (b) No (c) Yes (d) No (e) Yes (f) Yes (g) Yes (h) No

2. (a) 3 < x < 25 (b) 4 < x < 16 (c) 3 < x < 33 (d) 9 < x < 31 (e) 26 < x < 68 (f) 3 < x < 13 (g) 3 < x < 15 (h) 2 < x < 36

3. (a) Largest: ∠C, Smallest: ∠A (b) Largest: ∠X, Smallest: ∠Y (c) Largest: ∠R, Smallest: ∠P

4. (a) AC > BC > AB (underline AB) (b) PR > QR > PQ (underline PQ) (c) TU > SU > ST (underline ST)

Parent Tip: Review the logic above to help your child master the concept of worksheet triangle inequalities answers.

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