Triangle Inequalities

Question 1

Consider the triangle.

Revolt · Accepted Answer

angle B, angle A, angle C

Question 2

Based on the given angle measures, which triangle has side length measures that could be correct?

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A right triangle is shown. The length of the hypotenuse is 16, the base is 13.9, and the other side is 8. The top angle is 60 degrees and the bottom right angle is 30 degrees.

Question 3

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

Revolt · Accepted Answer

mY = 100°

Question 4

Lee is creating a garden with the dimensions shown.

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The path along is longer than the path along , and the path along is longer than the path along .

Question 5

Consider the triangle.

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The three sides have the same length.

Question 6

Consider the two triangles.

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By the converse of the hinge theorem, mS > mC.

Question 7

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

Revolt · Accepted Answer

DF < QS

Question 8

In the triangles, and .

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Angle G is smaller than angle P.

Question 9

Choose the word that correctly completes the statement.

Revolt · Accepted Answer

longest

Question 10

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

Triangle Inequalities Answers

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