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

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.

Tags

CCSS.4.G.A.2

Front

What are the types of triangles based on sides?

Back

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

Tags

CCSS.4.G.A.2

Front

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

Back

Front

If two sides of a triangle are 8 and 12, what is the range for the third side?

Back

Front

What is an Isosceles Triangle?

Back

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

Tags

CCSS.4.G.A.2

Front

What is a Scalene Triangle?

Back

A Scalene Triangle is a triangle in which all three sides are of different lengths.

Tags

CCSS.4.G.A.2

Front

What is an Equilateral Triangle?

Back

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

Tags

CCSS.4.G.A.2

Front

How do you determine if three lengths can form a triangle?

Back

Use the Triangle Inequality Theorem: For lengths a, b, and c, they can form a triangle if a + b > c, a + c > b, and b + c > a.

Front

What is the relationship between the 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.

Tags

CCSS.HSG.CO.C.10