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

Can the side lengths 3 cm, 4 cm, and 5 cm form a triangle?

Back

Yes, because 3 + 4 > 5, 3 + 5 > 4, and 4 + 5 > 3.

Front

What is the range of possible lengths for the third side of a triangle with sides 5 cm and 7 cm?

Back

Front

List the angles in order from smallest to largest for a triangle with angles 30°, 60°, and 90°.

Back

30°, 60°, 90°.

Front

Can the side lengths 2 inches, 2 inches, and 4 inches form a triangle?

Back

No, because 2 + 2 is not greater than 4.

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 Right Triangle?

Back

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

Front

What is an Obtuse Triangle?

Back

An Obtuse Triangle is a triangle that has one angle measuring greater than 90 degrees.