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

Back

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

Front

What is the range of possible measures for the third side of a triangle with sides 8 and 12?

Back

The range is 4 < x < 20.

Front

What is an Acute Isosceles Triangle?

Back

An Acute Isosceles Triangle is a triangle with two equal sides and all angles less than 90 degrees.

Front

What is a Right Scalene Triangle?

Back

A Right Scalene Triangle is a triangle with one right angle and all sides of different lengths.

Front

What is an Equilateral Triangle?

Back

An Equilateral Triangle is a triangle where all three sides are equal and all angles are 60 degrees.

Front

What is the sum of the angles in any triangle?

Back

The sum of the angles in any triangle is always 180 degrees.

Front

Can a triangle be formed with side lengths: 5, 10, 15?

Back

No, because 5 + 10 is not greater than 15.