How Many Unique Triangles

The video tutorial explores the concept of unique triangles formed by given angle measurements. It presents a problem involving angles of 50°, 50°, and 100°, asking how many unique triangles can be formed. The solution involves applying the interior angle sum theorem, which states that the sum of a triangle's interior angles must be 180°. The video demonstrates that the given angles sum to 200°, exceeding 180°, thus no triangles can be formed. The tutorial guides viewers through the problem-solving process, encouraging them to pause and attempt the solution before revealing the answer.

What is the significance of the interior angle sum theorem in triangle formation?

• It determines the type of triangle

• It helps in calculating the area

• It ensures the angles add up to 180°

How many unique triangles can be formed with the angles 50°, 50°, and 100°? Justify your answer.