Mrs. Kim's Inequalities in One Triangle

Front

What is the Triangle Inequality Theorem?

Back

The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Front

How do you determine the longest side of a triangle?

Back

The longest side of a triangle is the side opposite the largest angle.

Front

If two sides of a triangle are 5 in and 16 in, what is the minimum length of the third side?

Back

The minimum length of the third side must be greater than the difference of the two sides, which is 16 in - 5 in = 11 in.

Front

If two sides of a triangle are 5 in and 16 in, what is the maximum length of the third side?

Back

The maximum length of the third side must be less than the sum of the two sides, which is 5 in + 16 in = 21 in.

Front

What is the relationship between the angles and sides of 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

Front

What is the range of possible lengths for the third side of a triangle with sides 5 in and 16 in?

Back

The range is 11 in < x < 21 in.

Front

How can you identify the smallest angle in a triangle?

Back

The smallest angle in a triangle is opposite the shortest side.

Tags

CCSS.HSG.CO.C.10

Front

How can you identify the largest angle in a triangle?

Back

The largest angle in a triangle is opposite the longest side.

Tags

CCSS.HSG.CO.C.10

Front

What is the sum of the angles in any triangle?

Back

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

Tags

CCSS.8.G.A.5

Front

What is an acute triangle?

Back

An acute triangle is a triangle where all three angles are less than 90 degrees.

Tags

CCSS.4.G.A.2