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 problem statement discussed in the video regarding unique triangles?

• Finding the perimeter of a triangle with given angles.

• Identifying the type of triangle with angles 50°, 50°, and 100°.

• Determining the number of unique triangles with angles 50°, 50°, and 100°.

• Calculating the area of a triangle with given angles.

According to the interior angle sum theorem, what should be the sum of angles in a triangle?

• 270°

• 180°

• 90°

• 360°

If the sum of three angles is not 180°, what can be concluded?

• A triangle can still be formed.

• The angles form a straight line.

• The angles form a circle.

• No triangle can be formed.

What is the sum of the angles 50°, 50°, and 100°?

• 200°

• 150°

• 180°

• 250°

Why can't a triangle be formed with angles 50°, 50°, and 100°?

• The angles are not distinct.

• The sum of the angles is greater than 180°.

• The sum of the angles is less than 180°.

• The angles are too small.