Triangle Inequalities

Question 1

Triangle T U V is shown. Side T U has a length of 5 units, side U V has a length of 8 units, and side T V has a length of 11 units.

Revolt · Accepted Answer

Angle V is the smallest angle.

Question 2

The side lengths of triangle ABC are written in terms of the variable p, where p ≥ 3.

Revolt · Accepted Answer

mC > mA > mB

Question 3

In the triangles, and .

Revolt · Accepted Answer

Angle G is smaller than angle P.

Question 4

In the triangles, QR = DE and SR = FE.

Revolt · Accepted Answer

DF < QS

Question 5

In the triangles, XY = MP and YZ = PN.

Revolt · Accepted Answer

mY = 100°

Question 6

Consider the triangle.

Revolt · Accepted Answer

angle B, angle A, angle C

Question 7

Gene starts from home and travels 3 miles north to the shopping mall. From the shopping mall, he travels 2 miles west to the library. Then, from the library, he travels about 3.6 miles to return home. The entire trip forms a triangle.

Revolt · Accepted Answer

at the mall

Question 8

In the triangles, and .

Revolt · Accepted Answer

is longer than .

Question 9

Choose the word that correctly completes the statement.

Revolt · Accepted Answer

longest

Question 10

Consider the triangle.

Revolt · Accepted Answer

The three sides have the same length.

Triangle Inequalities Answers

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