Triangle Inequalities

Question 1

Which triangle correctly shows that the side opposite the larger angle is the larger side?

Revolt · Accepted Answer

[Image: A triangle has side lengths 5, 13, 12 and angle me...]

Question 2

A fence runs along the back wall of each property, as shown in the diagram.

Revolt · Accepted Answer

lot 1; lot 3

Question 3

The lengths of the sides of triangle ABC are represented in terms of the variable m, where m > 6.

Revolt · Accepted Answer

✔ C; angle , angle , angle: C; angle , angle , angle: B; angle , angle , angle: A

Question 4

A✔ BC

Revolt · Accepted Answer

✔ B

Question 5

✔ ABC

Revolt · Accepted Answer

✔ A

Question 6

Pat is at a right angle from Chris and Jaime, and Chris is at a 48° angle from Pat and Jaime. Which statements are true? Check all that apply.

Revolt · Accepted Answer

Jaime is at the smallest angle from the two friends.; Pat is at an angle of 90° to Chris and Jaime.; If they meet at Pat’s entrance, then Chris will have walked a shorter distance than Jaime.

Question 7

What was the smallest angle made in her trip?

Revolt · Accepted Answer

It is at the gas station.

Question 8

Given AC = LN and BA = ML, which statement must be true?

Revolt · Accepted Answer

BC < MN

Question 9

Given GK = XZ and GH = XY, which statement must be true?

Revolt · Accepted Answer

m∠G < m∠X

Question 10

A fence runs along the back wall of each property, as shown in the diagram.

Revolt · Accepted Answer

✔ lot 1; lot 1; lot 3

Triangle Inequalities Answers

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