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

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

Question 2

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

Revolt · Accepted Answer

Angle X, Angle W, Angle Y

Question 3

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 4

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 5

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

Revolt · Accepted Answer

AB > FD

Question 6

Given AC ≅ FE and CB ≅ ED which statement is correct?

Revolt · Accepted Answer

Angle C is larger than angle E.

Question 7

A farmer is building three triangular pens such that Line segment V T is-congruent-to line segment U T is-congruent-to line segment S T is-congruent-to line segment R T. . If UV > US > SR, which is a true statement?

Revolt · Accepted Answer

m∠UTV > m∠UTS > m∠STR

Triangle Inequalities Answers

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