How Many Unique Triangles | 7.G.A.2

The video tutorial explores the concept of unique triangles formed by given angle measures. It presents a problem involving three angles: 50°, 50°, and 100°, and asks how many unique triangles can be formed. The video explains that for any three angles to form a triangle, their sum must be 180°. Since the given angles sum to 200°, no triangle can be formed. The tutorial concludes by reinforcing the understanding of triangle angle sum properties.

What are the given angle measures in the problem statement?

• 60°, 60°, 60°

• 50°, 50°, 100°

• 45°, 45°, 90°

• 30°, 60°, 90°

What is the sum of the interior angles in any triangle?

• 180°

• 360°

• 90°

• 270°

What is the sum of the given angle measures: 50°, 50°, and 100°?

• 150°

• 180°

• 250°

• 200°

Why can't a triangle be formed with the given 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.

What is the correct answer choice for the number of unique triangles that can be formed with the given angles?

• Exactly 1 triangle

• More than three triangles

• Exactly 3 triangles

• No triangles