Sides and Angles of Triangles

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 two sides of a triangle are 10 inches and 15 inches, what is the range of possible lengths for the third side?

Back

The length of the third side must be greater than 5 inches and less than 25 inches.

Front

In triangle ABC, if side AB = 10 inches and side BC = 17 inches, what could be the length of side AC?

Back

The length of side AC must be between 7 inches and 27 inches.

Front

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

Back

In a triangle, the largest angle is opposite the longest side, and the smallest angle is opposite the shortest side.

Front

How do you determine the longest side in a triangle?

Back

To determine the longest side, compare the lengths of all three sides; the longest side is the one with the greatest length.

Front

What is the range of values for the third side of a triangle with sides measuring 4 mm and 12 mm?

Back

The range is between 8 mm and 16 mm.

Front

If one side of a triangle is 8 and another is 15, what is the range for the third side?

Back

The range for the third side is between 7 and 23.

Front

List the sides of triangle ABC from largest to smallest if AB = 12, BC = 10, and AC = 15.

Back

AC > AB > BC.

Front

What is the minimum length of the third side of a triangle if the other two sides are 5 and 9?

Back

The minimum length of the third side must be greater than 4.

Front

What is the maximum length of the third side of a triangle if the other two sides are 6 and 10?

Back

The maximum length of the third side must be less than 16.