Triangle Inequality Theorem

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 many degrees are there in a triangle?

Back

180 degrees.

Front

What is the condition for three lengths to form a triangle?

Back

The sum of the lengths of any two sides must be greater than the length of the third side.

Front

If the sides of a triangle are 3 cm, 4 cm, and 5 cm, do they satisfy the Triangle Inequality Theorem?

Back

Yes, because 3 + 4 > 5, 3 + 5 > 4, and 4 + 5 > 3.

Front

Can the lengths 2 cm, 2 cm, and 5 cm form a triangle?

Back

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

Front

What is an example of lengths that cannot form a triangle?

Back

3 cm, 10 cm, and 15 cm.

Front

What is the maximum angle in a triangle?

Back

The maximum angle in a triangle is less than 180 degrees.

Front

What is the minimum angle in a triangle?

Back

The minimum angle in a triangle is greater than 0 degrees.

Front

What happens if one side of a triangle is equal to the sum of the other two sides?

Back

It forms a straight line, not a triangle.

Front

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

Back

The largest angle is opposite the longest side.