Triangle Inequality

Triangle Inequality

Assessment

Flashcard

Mathematics

10th Grade

Practice Problem

Hard

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the Triangle Inequality Theorem?

Back

The Triangle Inequality Theorem states that for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

2.

FLASHCARD QUESTION

Front

If a triangle has sides of lengths 7, 10, and x, what is the range of possible values for x?

Back

x must be greater than 3 and less than 17 (3 < x < 17).

3.

FLASHCARD QUESTION

Front

In triangle ABC, if angle A is the smallest angle, which side is the shortest?

Back

Side BC is the shortest side.

4.

FLASHCARD QUESTION

Front

What is the relationship between the angles and sides of a triangle?

Back

In a triangle, the larger the angle, the longer the opposite side.

5.

FLASHCARD QUESTION

Front

If the lengths of two sides of a triangle are 5 and 12, what is the maximum possible length of the third side?

Back

The maximum possible length of the third side is 16 (5 + 12 - 1).

6.

FLASHCARD QUESTION

Front

What is the minimum possible length of the third side if the other two sides are 5 and 12?

Back

The minimum possible length of the third side is 7 (12 - 5 + 1).

7.

FLASHCARD QUESTION

Front

How do you determine if three lengths can form a triangle?

Back

Check if the sum of the lengths of any two sides is greater than the length of the third side for all three combinations.

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