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

Can the side lengths 4 cm, 7 cm, and 10 cm form a triangle?

Back

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

Tags

CCSS.7.G.A.2

Front

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

Back

The range is 4 < x < 20.

Front

How do you determine the smallest angle in a triangle?

Back

The smallest angle is opposite the shortest side of the triangle.

Tags

CCSS.HSG.CO.C.10

Front

List the angles of a triangle in order from smallest to largest if the sides are 5 cm, 7 cm, and 10 cm.

Back

∠A, ∠C, ∠B (where ∠A is opposite the 5 cm side, ∠C is opposite the 7 cm side, and ∠B is opposite the 10 cm side).

Tags

CCSS.HSG.CO.C.10

Front

What type of triangle has one right angle and all sides of different lengths?

Back

Right Scalene Triangle.

Tags

CCSS.4.G.A.2

Front

If two sides of a triangle are 6 cm and 9 cm, what is the maximum possible length of the third side?

Back

The maximum length is 15 cm (6 + 9).

Front

What is the minimum possible length of the third side if the other two sides are 6 cm and 9 cm?

Back

The minimum length is 3 cm (9 - 6).

Front

What is an Isosceles Triangle?

Back

An Isosceles Triangle has at least two sides of equal 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