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

Do the side lengths 2 inches, 2 inches, and 4 inches form a triangle?

Back

No, because 2 + 2 is not greater than 4.

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.

Front

Identify the longest side in a triangle with sides 5 cm, 12 cm, and 13 cm.

Back

The longest side is 13 cm.

Front

What type of triangle has two equal sides?

Back

An Isosceles triangle.

Front

What type of triangle has all sides of different lengths?

Back

A Scalene triangle.

Front

What is a Right Triangle?

Back

A Right Triangle is a triangle that has one angle measuring 90 degrees.

Front

What is an Obtuse Triangle?

Back

An Obtuse Triangle is a triangle that has one angle measuring more than 90 degrees.

Front

Identify the smallest angle in a triangle with angles ∠A = 30°, ∠B = 60°, ∠C = 90°.

Back

The smallest angle is ∠A.

Front

If one side of a triangle is 8 cm and the other two sides are 5 cm and 3 cm, do they form a triangle?

Back

No, because 5 + 3 is not greater than 8.