How do you determine from points what type of triangle you have

The video tutorial explains how to determine the type of a triangle formed by three points using the distance formula. It begins with an introduction to different triangle types: equilateral, isosceles, and scalene. The instructor plots points on a graph and discusses initial observations. Since the points do not align horizontally or vertically, the distance formula is applied to calculate the distances between each pair of points. The instructor performs calculations to confirm that the triangle is scalene, as all sides have different lengths.

What type of triangle has all three sides of equal length?

• Right

• Equilateral

• Isosceles

• Scalene

When plotting points on a graph, what is the first step to determine the type of triangle?

• Calculate the area

• Draw a circle around the points

• Plot the points and observe the shape

• Measure the angles

Why can't the distance between points be simply added when they are not on the same line?

• Because they are not equidistant

• Because they are too far apart

• Because they form a circle

• Because they are not on a horizontal or vertical line

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

• Pythagorean Theorem

• Distance Formula

• Area Formula

• Slope Formula

What is the result of applying the distance formula to the points X and Y?

• Square root of 100

• Square root of 64

• Square root of 113

• Square root of 49

Which of the following is NOT a characteristic of a scalene triangle?

• All sides are different lengths

• Two sides are equal

• No equal angles

• No sides are equal

After calculating the distances, what type of triangle was confirmed?

• Scalene

• Right

• Isosceles

• Equilateral