Triangle sides and angles

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

Can a triangle be formed with sides of lengths 5, 8, and 3?

Back

No, because 5 + 3 is not greater than 8.

Front

What is a unique triangle?

Back

A unique triangle is a triangle that can be formed with a specific set of side lengths or angle measures.

Front

What does it mean if no triangle can be formed with given side lengths?

Back

It means that the side lengths do not satisfy the Triangle Inequality Theorem.

Front

Given angles of 30°, 60°, and 90°, how many triangles can be formed?

Back

One unique triangle.

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°.

Front

Can a triangle be formed with angles of 40°, 50°, and 100°?

Back

No, because the sum of the angles exceeds 180°.

Front

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

Back

In a triangle, the largest angle is opposite the longest side, and the smallest angle is opposite the shortest side.

Front

What is an obtuse triangle?

Back

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

Front

What is an acute triangle?

Back

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