Triangles and Their Side Lengths

Question 1

If triangle LMN has an obtuse angle at vertex M, which statements could be true? Check all that apply.Triangle LMN is an obtuse triangle.The angle at vertex L is acute.The angle at vertex L is right.The angle at vertex N is right. The angle at vertex N is acute.Triangle LMN is a right triangle.

Revolt · Accepted Answer

Triangle LMN is an obtuse triangle.; The angle at vertex L is acute.; The angle at vertex N is acute.

Question 2

Triangle XYZ is a right triangle with the right angle at vertex Y.

Revolt · Accepted Answer

Angle X must be .: acute; Angle Z must be .: acute; The sum of angles X and Z must be 90°.: equal to

Question 3

Triangle XYZ is a right triangle with the right angle at vertex Y.

Revolt · Accepted Answer

✔ acute; Angle X must be .: acute; Angle Z must be .: acute; The sum of angles X and Z must be 90°.: equal to

Question 4

✔ acuteobtuseright

Revolt · Accepted Answer

✔ acute

Question 5

X less than✔ equal togreater than

Revolt · Accepted Answer

✔ equal to

Question 6

Assuming the three cities make a triangle on the map, which values represent the possible distance, d, in miles, between Lincoln, NE, and the third city?

Revolt · Accepted Answer

✔ 300; < d <: 300; < d <: 700

Question 7

X 300500✔ 7001,000

Revolt · Accepted Answer

✔ 700

Question 8

Question 8

Revolt · Accepted Answer

In triangle ABC, we can draw a perpendicular line segment from vertex C to segment AB. The intersection of AB and the perpendicular is called E. We know that BE is the shortest distance from B to and: CE; In triangle ABC, we can draw a perpendicular line segment from vertex C to segment AB. The intersection of AB and the perpendicular is called E. We know that BE is the shortest distance from B to and: AE; In triangle ABC, we can draw a perpendicular line segment from vertex C to segment AB. The intersection of AB and the perpendicular is called E. We know that BE is the shortest distance from B to and: segment addition postulate

Triangles and Their Side Lengths Answers

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