Triangle Inequality

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 a triangle has sides of lengths 5 cm, 7 cm, and 10 cm, does it satisfy the Triangle Inequality?

Back

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

Front

What is the maximum length of a side in a triangle with sides 8 cm and 6 cm?

Back

The maximum length of the third side must be less than 14 cm (8 + 6) and greater than 2 cm (8 - 6).

Front

In a triangle, which side is opposite the largest angle?

Back

The side opposite the largest angle is the longest side.

Front

Can a triangle have sides of lengths 2 cm, 2 cm, and 5 cm?

Back

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

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.

Front

If one angle of a triangle is 90 degrees, what type of triangle is it?

Back

It is a right triangle.

Front

What is an equilateral triangle?

Back

An equilateral triangle is a triangle where all three sides are of equal length and all angles are equal to 60 degrees.

Front

What is an isosceles triangle?

Back

An isosceles triangle is a triangle that has at least two sides of equal length.

Front

If a triangle has angles measuring 30 degrees and 60 degrees, what is the measure of the third angle?

Back

The third angle measures 90 degrees (180 - 30 - 60).