Triangle Inequality Theorem

Front

What is the sum of the interior angles of a triangle?

Back

180 degrees

Front

What is the Triangle Inequality Theorem?

Back

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

Front

If one side of a triangle is 7 ft and another side is 13 ft, what is the range of possible lengths for the third side?

Back

More than 6 ft but less than 20 ft.

Front

If the longest side of a triangle is 10, what must be true about the sum of the other two sides?

Back

The sum must be greater than 10.

Front

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

Back

The longest side is 13.

Front

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

Back

The largest angle is opposite the longest side.

Front

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

Back

90 degrees.

Front

In a triangle with sides of lengths 8, 15, and 17, does it satisfy the Triangle Inequality Theorem?

Back

Yes, 8 + 15 > 17, 8 + 17 > 15, and 15 + 17 > 8.

Front

What is the minimum length of the third side if two sides of a triangle are 5 and 7?

Back

The minimum length is more than 2.

Front

If a triangle has angles measuring 45 degrees, 45 degrees, and 90 degrees, what type of triangle is it?

Back

It is an isosceles right triangle.