Triangle Inequalities

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

If the sides of a triangle are 5, 7, and 10, can a triangle be formed?

Back

Yes, because 5 + 7 > 10, 5 + 10 > 7, and 7 + 10 > 5.

Tags

CCSS.7.G.A.2

Front

Order the sides of a triangle with lengths 8, 3, and 5 from smallest to largest.

Back

3, 5, 8.

Front

What is the relationship between the angles and sides of a triangle?

Back

The largest angle is opposite the longest side, and the smallest angle is opposite the shortest side.

Tags

CCSS.HSG.CO.C.10

Front

If two sides of a triangle are 6 and 8, what is the range of possible lengths for the third side?

Back

The length of the third side must be greater than 2 and less than 14.

Front

Name the angles of a triangle with sides 4, 5, and 6 from smallest to largest.

Back

The angles are opposite the sides: 4 (smallest), 5, 6 (largest).

Tags

CCSS.HSG.CO.C.10

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180 degrees.

Tags

CCSS.8.G.A.5

Front

Can a triangle be formed with side lengths 2, 2, and 5?

Back

No, because 2 + 2 is not greater than 5.

Tags

CCSS.7.G.A.2

Front

What is an isosceles triangle?

Back

An isosceles triangle has at least two sides that are equal in length.

Tags

CCSS.4.G.A.2

Front

What is a scalene triangle?

Back

A scalene triangle has all sides of different lengths.

Tags

CCSS.4.G.A.2