Triangles and Their Side Lengths Answers

Under which angle conditions could a triangle exist? Check all that apply.3 acute angles2 acute angles, 1 right angle1 acute angle, 1 right angle, 1 obtuse angle1 acute angle, 2 obtuse angles 2 acute angles, 1 obtuse angle

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Triangle DEF contains two congruent acute angles. The sum of the measures of the two congruent acute angles is greater than 90 degrees. Anna concludes that the triangle must be an acute triangle. Which best describes her conclusion?

Charla has six segments with which to make two triangles. The segments lengths are 2 in., 3 in., 4 in., 5 in., 6 in., and 7 in. Which are possible side lengths of her two triangles?

Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and point C is 25 yards. Pete walks directly from point A to point C, without passing through point B. What is the direct distance from A to C?

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A triangle has side lengths measuring 20 cm, 5 cm, and n cm. Which describes the possible values of n?

Gemma wants to draw a triangle with side lengths of 4 inches, 12 inches, and 17 inches. Which statement is true?

In triangle ABC, AB measures 25 cm and AC measures 35 cm.

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In triangle RST, m∠R > m∠S + m∠T. Which must be true of triangle RST? Check all that apply.m∠R > 90°m∠S + m∠T m∠Tm∠R > m∠S m∠S > m∠T