Triangle Inequality

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.

Front

Identify 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

Identify the types of triangles based on sides.

Back

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

Front

What is an Obtuse Scalene Triangle?

Back

An Obtuse Scalene Triangle is a triangle with one angle greater than 90 degrees and all sides of different lengths.

Front

Which lengths cannot represent the sides of a triangle?

Back

The lengths must satisfy the Triangle Inequality Theorem. For example, lengths 28, 30, and 58 cannot form a triangle.

Front

If two sides of a triangle are 10 inches and 7 inches, what is the range for the third side?

Back

Front

What is the maximum length of a side in a triangle given two sides of lengths 10 and 7?

Back

The maximum length of the third side can be calculated as: 10 + 7 - 1 = 16.

Front

What is the minimum length of a side in a triangle given two sides of lengths 10 and 7?

Back

The minimum length of the third side can be calculated as: 10 - 7 + 1 = 4.

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 combinations.

Front

What is an example of a Right Isosceles Triangle?

Back

A Right Isosceles Triangle has one 90-degree angle and two sides of equal length, such as sides of length 5.