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Triangle Inequality Theorem Quiz

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Questions and Answers

What is the primary condition for the Triangle Inequality Theorem to be applicable?

The triangle is a right-angled triangle

The triangle is isosceles

The triangle is equilateral

One side of the triangle is longer than a second side (correct)

What is the relationship between the length of the sides and the opposite angles in a triangle according to the Triangle Inequality Theorem?

The longer side corresponds to the larger angle (correct)

The shorter side corresponds to the larger angle

The longer side corresponds to the smaller angle

The shorter side corresponds to the smaller angle

What is the conclusion that can be drawn from the Triangle Inequality Theorem?

The angles of a triangle are always equal

The angle opposite the shorter side is larger than the angle opposite the longer side

The angle opposite the longer side is larger than the angle opposite the shorter side (correct)

The sides of a triangle are always equal

What is the main idea behind the Triangle Inequality Theorem?

<p>The length of the sides of a triangle determines the measure of the opposite angles</p> Signup and view all the answers

What is the specific relationship between the sides and angles of a triangle described by the Triangle Inequality Theorem?

<p>If one side is longer than a second side, the angle opposite the first side is larger than the angle opposite the second side</p> Signup and view all the answers

Study Notes

Triangle Inequality Theorem

The theorem relates the lengths of sides of a triangle to their opposite angles.
If one side of a triangle is longer than another side, then the angle opposite the longer side is also larger.
This theorem can be stated as: Ss → Aa, where Ss represents the relationship between the sides and Aa represents the relationship between the angles.

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Description

Test your understanding of the Triangle Inequality Theorem, which states that if one side of a triangle is longer than another, the angle opposite the longer side is also greater. Take this quiz to see how well you can apply this concept to different triangle problems.