Triangles and Their Side Lengths

Question 1

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

Revolt · Accepted Answer

A: 3 acute angles; B: 2 acute angles, 1 right angle; E: 2 acute angles, 1 obtuse angle

Question 2

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?

Revolt · Accepted Answer

B: She is correct. The remaining angle of the triangle measures less than 90 degrees.

Question 3

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?

Revolt · Accepted Answer

C: 2 in., 3 in., 4 in. and 5 in., 6 in., 7 in.

Question 4

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

Revolt · Accepted Answer

: 10; : 60; : 70; : 120

Question 5

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

Revolt · Accepted Answer

D: 15 < n < 25

Question 6

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

Revolt · Accepted Answer

D: This triangle does not exist because the sum of 4 and 12 is less than 17.

Question 7

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

Revolt · Accepted Answer

: 111197; : 111198; : 111199; : 111200

Question 8

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 < 90°m∠S = m∠T m∠R > m∠Tm∠R > m∠S m∠S > m∠T

Revolt · Accepted Answer

A: m∠R > 90°; B: m∠S + m∠T < 90°; D: m∠R > m∠T; E: m∠R > m∠S

Question 9

Under which angle conditions could a triangle exist? Check all that apply.

Revolt · Accepted Answer

A: 3 acute angles; B: 2 acute angles, 1 right angle; E: 2 acute angles, 1 obtuse angle

Question 10

⇒ 7

Revolt · Accepted Answer

111181

Triangles and Their Side Lengths Answers

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