Triangle Inequality Flashcard

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.

Front

How do you determine the longest side of a triangle?

Back

To determine the longest side of a triangle, compare the lengths of all three sides. The side with the greatest length is the longest.

Front

What are the types of triangles based on side lengths?

Back

1. Equilateral Triangle: All sides are equal. 2. Isosceles Triangle: Two sides are equal. 3. Scalene Triangle: All sides are different.

Front

What are the types of triangles based on angles?

Back

1. Acute Triangle: All angles are less than 90 degrees. 2. Right Triangle: One angle is exactly 90 degrees. 3. Obtuse Triangle: One angle is greater than 90 degrees.

Front

If the sides of a triangle are 3 inches, 4 inches, and 5 inches, do they form a triangle?

Back

Yes, they form a triangle because 3 + 4 > 5, 3 + 5 > 4, and 4 + 5 > 3.

Front

What is an Isosceles Triangle?

Back

An Isosceles Triangle is a triangle that has at least two sides of equal length.

Front

What is a Right Triangle?

Back

A Right Triangle is a triangle that has one angle measuring exactly 90 degrees.

Front

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

Back

In a triangle, the largest angle is opposite the longest side, and the smallest angle is opposite the shortest side.

Front

Can a triangle have two obtuse angles?

Back

No, a triangle cannot have two obtuse angles because the sum of the angles in a triangle must equal 180 degrees.

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180 degrees.