Classifying Triangles and Distance Formula

This lesson teaches how to use the distance formula to classify triangles by their side lengths. It begins with an introduction to the concept, followed by a detailed example of classifying triangle ABC as isosceles. Students are then given a practice problem to classify another triangle, which is identified as scalene. The lesson concludes with a summary of the key points covered.

What is the main objective of this lesson?

• To learn how to calculate the area of triangles.

• To understand how to classify triangles using the distance formula.

• To study the properties of right triangles.

• To explore different types of angles in triangles.

Which type of triangle has all sides of equal length?

• Scalene

• Isosceles

• Equilateral

• Right

What is the characteristic of a scalene triangle?

• It has a right angle.

• No sides are equal.

• Two sides are equal.

• All sides are equal.

In the first example, what are the side lengths of triangle ABC?

• 5, 5, and √10

• √13, 3, and 2

• 6, 6, and 6

• 3, 4, and 5

What type of triangle is ABC in the first example?

• Equilateral

• Isosceles

• Scalene

• Right

In the second example, what is the length of side AB?

• 5

• √13

• 3

• 2

What type of triangle is formed in the second example?

• Equilateral

• Isosceles

• Scalene

• Right

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

• Pythagorean Theorem

• Distance Formula

• Area Formula

• Slope Formula

What is the distance between points (1, 1) and (3, 1)?

• 1

• 4

• 2

• 3

What is the key takeaway from this lesson?

• The distance formula is not useful for classifying triangles.

• All triangles are isosceles.

• Triangles can only be classified by angles.

• Triangles can be classified by side lengths using the distance formula.