Triangle Types and Distance Calculations

The video tutorial explains how to use the distance formula to classify triangles. It begins by graphing points A, B, and C to form triangle ABC. The instructor then demonstrates how to calculate the lengths of sides AB, BC, and AC using the distance formula. Finally, the triangle is classified as isosceles because two sides are equal in length.

What is the first step in using the distance formula to classify triangles?

• Determine the type of triangle

• Calculate the area of the triangle

• Graph the points of the triangle

• Find the midpoint of each side

How do you determine the coordinates of point A?

• Move 1 unit right and 5 units up from the origin

• Move 1 unit left and 5 units down from the origin

• Move 1 unit left and 5 units up from the origin

• Move 1 unit right and 5 units down from the origin

What is the formula used to calculate the distance between two points?

• x2 + x1 squared plus y2 + y1 squared

• x2 + x1 squared minus y2 + y1 squared

• x2 - x1 squared plus y2 - y1 squared

• x2 - x1 squared minus y2 - y1 squared

What is the calculated distance between points A and B?

• 8.06 units

• 7.06 units

• 9.06 units

• 10.06 units

What is the calculated distance between points B and C?

• 10.06 units

• 7.06 units

• 8.06 units

• 9.06 units

What is the calculated distance between points A and C?

• 10.40 units

• 13.40 units

• 11.40 units

• 12.40 units

Which type of triangle has no sides of equal length?

• Right

• Equilateral

• Isosceles

• Scalene

Which type of triangle has two sides of equal length?

• Scalene

• Right

• Equilateral

• Isosceles

Which type of triangle has all sides of equal length?

• Equilateral

• Isosceles

• Right

• Scalene

Based on the side lengths, what type of triangle is ABC?

• Scalene

• Isosceles

• Equilateral

• Right