3.1 Triangle Sum & Triangle Inequality

3.1 Triangle Sum & 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 Sum Theorem?

Back

The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always 180 degrees.

2.

FLASHCARD QUESTION

Front

What is the Triangle Inequality Theorem?

Back

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

3.

FLASHCARD QUESTION

Front

If two angles of a triangle are 50 degrees and 60 degrees, what is the measure of the third angle?

Back

The third angle is 70 degrees, since 180 - (50 + 60) = 70.

4.

FLASHCARD QUESTION

Front

Given two sides of lengths 8 and 15, what is the range of possible lengths for the third side?

Back

The range is 7 < x < 23, according to the Triangle Inequality Theorem.

5.

FLASHCARD QUESTION

Front

What is the largest angle in a triangle with sides of lengths 5, 12, and 13?

Back

The largest angle is opposite the longest side, which is 13.

6.

FLASHCARD QUESTION

Front

If one angle of a triangle is 90 degrees, what type of triangle is it?

Back

It is a right triangle.

7.

FLASHCARD QUESTION

Front

How do you find the range of possible lengths for the third side of a triangle given two sides of lengths a and b?

Back

The range is given by |a - b| < x < a + b.

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