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 the range of possible lengths for the third side of a triangle with sides 8 and 12?

Back

Front

Can a triangle be formed with side lengths 17, 9, and 30?

Back

No, because 17 + 9 is not greater than 30.

Front

Can a triangle be formed with side lengths 4, 7, and 10?

Back

Yes, because 4 + 7 > 10, 4 + 10 > 7, and 7 + 10 > 4.

Front

Which lengths cannot represent the sides of a triangle: 32, 34, 60, 28, 30, 58, 13, 20, 27, 2, 4, 5?

Back

28, 30, and 58 cannot represent the sides of a triangle.

Front

What is an Isosceles Triangle?

Back

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

Front

What is a Scalene Triangle?

Back

A Scalene Triangle is a triangle where all three sides have different lengths.

Front

What is a Right Triangle?

Back

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