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

If one angle of a triangle measures 30 degrees, what is the sum of the other two angles?

Back

The sum of the other two angles is 150 degrees, since the total sum of angles in a triangle is always 180 degrees.

Front

What is the maximum possible angle in a triangle?

Back

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

Front

Can a triangle have two obtuse angles?

Back

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

Front

If two angles of a triangle measure 40 and 50 degrees, what is the third angle?

Back

The third angle measures 90 degrees.

Front

What are the conditions for three lengths to form a triangle?

Back

The lengths must satisfy the Triangle Inequality Theorem: a + b > c, a + c > b, and b + c > a.

Front

Given side lengths 3, 6, and 12, do they form a triangle?

Back

No, they do not form a triangle because 3 + 6 is not greater than 12.

Front

What is the sum of the angles in any triangle?

Back

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

Front

If two sides of a triangle are equal, what type of triangle is it?

Back

It is an isosceles triangle.

Front

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

Back

It is called an obtuse triangle.