Triangle Inequalities

Question 1

Given triangle GHJ, the measure of angle G equals 110°, the measure of angle J equals 40°, and the measure of angle H equals 30°. Complete the following statements.

Revolt · Accepted Answer

✔ the largest; Since angle G is angle, the opposite side, JH, is .: the largest; Since angle G is angle, the opposite side, JH, is .: the longest side; The order of the side lengths from longest to shortest is .: HJ, GH, and GJ

Question 2

110 units long✔ the longest sidethe shortest side

Revolt · Accepted Answer

✔ the longest side

Question 3

GJ, GH, and HJ✔ HJ, GH, and GJHJ, GJ, and GH

Revolt · Accepted Answer

✔ HJ, GH, and GJ

Question 4

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

Revolt · Accepted Answer

lot 1; lot 3

Question 5

AB✔ C

Revolt · Accepted Answer

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

Question 6

A✔ BC

Revolt · Accepted Answer

✔ B

Question 7

✔ ABC

Revolt · Accepted Answer

✔ A

Question 8

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 9

What was the smallest angle made in her trip?

Revolt · Accepted Answer

It is at the gas station.

Question 10

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

Revolt · Accepted Answer

BC < MN

Triangle Inequalities Answers

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