Unique triangles

Front

What is a unique triangle?

Back

A unique triangle is a triangle that can be formed with a specific set of angle measures or side lengths, meaning no other triangle can have the same measurements.

Front

How many triangles can be formed with angle measures of 55°, 45°, and 90°?

Back

No triangle exists.

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

Which set of side lengths can form a triangle? 6, 8, 13 or 7, 9, 18 or 7, 7, 14 or 2, 6, 9?

Back

6, 8, 13.

Front

How many triangles can be created with the side lengths of 3 cm, 4 cm, and 5 cm?

Back

Only 1 unique triangle.

Front

What type of triangle has all angles less than 90°?

Back

An acute triangle.

Front

What type of triangle has one angle equal to 90°?

Back

A right triangle.

Front

What type of triangle has one angle greater than 90°?

Back

An obtuse triangle.

Front

If two angles of a triangle are 30° and 70°, what is the measure of the third angle?

Back

80°.

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°.