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
Sample Response: The dowels are congruent, so they have the same length. If one is cut, the sum of the lengths of the two cut pieces will equal the length of the longer piece. If the pieces are to make a triangle, the sum of the lengths of the two cut pieces must be greater than the length of the third piece. What did you include in your response? Check all that apply.The sum of the lengths of the two cut pieces is equal to the length of the long piece.The sum of the lengths of the two cut piece
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10
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30
In triangle ABC, AB measures 25 cm and AC measures 35 cm.
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60
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70
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120
x > [___] feet
7
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?
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 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
Ruben has two congruent wooden dowels. He cuts one dowel in two in order to have three pieces to make a triangle. Explain why, despite having three sides, Ruben will not be able to make a triangle with his three pieces.
According to the Triangle Inequality Theorem, the sum of any two side lengths of a triangle must be greater than the length of the third side. Because Ruben cut one dowel into two pieces, the sum of those two pieces is equal to the length of the uncut dowel. Since the sum is not greater than the third side, a triangle cannot be formed.
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
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?
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