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

less than✔ equal togreater than

Revolt · Accepted Answer

✔ equal to

Question 3

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

Question 4

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

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

Question 5

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 6

300X 500✔ 7001,000

Revolt · Accepted Answer

✔ 700

Question 7

✔ CECAAE

Revolt · Accepted Answer

✔ 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: 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

Question 8

CEX CA✔ AE

Revolt · Accepted Answer

✔ AE

Question 9

✔ segment addition postulateX substitution propertytransitive property

Revolt · Accepted Answer

✔ segment addition postulate

Triangles and Their Side Lengths Answers

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