Triangle Inequalities

Question 1

Drag vertices B and C of the triangle. Then, conjecture about the relationship between angle measures and side lengths in a triangle.

Revolt · Accepted Answer

✔ longest; It is the length.: longest; It is the degree measure.: smallest

Question 2

✔ smallestmiddle X largest

Revolt · Accepted Answer

✔ smallest

Question 3

What is the order of the angles from largest to smallest?

Revolt · Accepted Answer

Angle X, Angle W, Angle Y

Question 4

Triangle ABC is shown in the diagram. The lengths of the sides are in terms of the variable n, where n ≥ 4. Complete the inequality.

Revolt · Accepted Answer

m: B; m: A; m: C

Question 5

If the ship can travel to either dock, which dock would be closest? Explain your answer.

Revolt · Accepted Answer

Michael’s dock would be closer because the angle opposite is smaller.

Question 6

Given [image 1] and [image 2] which statement is correct?

Revolt · Accepted Answer

AB > FD

Question 7

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

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 8

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 9

110 units long✔ the longest sidethe shortest side

Revolt · Accepted Answer

✔ the longest side

Question 10

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

Revolt · Accepted Answer

✔ HJ, GH, and GJ

Triangle Inequalities Answers

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