Unique Triangles

Front

What is a unique triangle?

Back

A unique triangle is a triangle that can be formed with a specific set of measurements (angles and/or sides) that leads to only one possible triangle.

Front

What is the sum of the angles in a triangle?

Back

The sum of the angles in a triangle is always 180 degrees.

Front

If two angles of a triangle are known, how can you find the third angle?

Back

You can find the third angle by subtracting the sum of the known angles from 180 degrees.

Front

What does it mean if a triangle cannot be formed with given measurements?

Back

It means that the measurements do not satisfy the triangle inequality theorem or the sum of the angles does not equal 180 degrees.

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

What is the condition for forming a triangle with three sides?

Back

For three sides to form a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

Front

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

Back

In a triangle, the larger the angle, the longer the opposite side; conversely, the smaller the angle, the shorter the opposite side.

Front

Can a triangle have two right angles?

Back

No, a triangle cannot have two right angles because the sum of the angles would exceed 180 degrees.

Front

What is the definition of an obtuse triangle?

Back

An obtuse triangle is a triangle that has one angle greater than 90 degrees.

Front

What is the definition of an acute triangle?

Back

An acute triangle is a triangle where all three angles are less than 90 degrees.