Master How to find the area and perimeter of a triangle given three points

The video tutorial explains how to find the area and perimeter of triangles given three points. It covers plotting points, identifying base and height, and using the Pythagorean theorem for right triangles. The tutorial also demonstrates calculating area and perimeter for non-right triangles using the distance formula. The video concludes with a final example and a summary of the methods discussed.

What is the first step in finding the area and perimeter of a triangle given three points?

• Calculate the distance between points

• Graph the points to visualize the triangle

• Directly apply the Pythagorean theorem

• Use the distance formula

How do you find the base of a right triangle on a graph?

• By measuring the vertical distance

• By using the distance formula

• By using the Pythagorean theorem

• By counting the horizontal distance between two points

What formula is used to calculate the area of a triangle?

• Base minus height

• Base plus height

• 1/2 base times height

• Base times height

When dealing with a non-right triangle, what is a crucial step in determining the base and height?

• Applying the distance formula

• Rotating the triangle for easier identification

• Counting the number of sides

• Using the Pythagorean theorem

What is the purpose of the distance formula in finding the perimeter of a triangle?

• To calculate the area

• To measure the distance between two points

• To determine the height

• To find the length of the base

Which of the following is the distance formula?

• a^2 + b^2 = c^2

• 1/2 base times height

• (x2 - x1) + (y2 - y1)

• sqrt((x2 - x1)^2 + (y2 - y1)^2)

In the final example, what type of triangle is being analyzed?

• Isosceles triangle

• Obtuse triangle

• Equilateral triangle

• Right triangle

How is the height of an obtuse triangle determined in the final example?

• By measuring the horizontal distance

• By counting the vertical distance from the base to the top

• By using the distance formula

• By applying the Pythagorean theorem

What is the approximate perimeter of the obtuse triangle in the final example?

• 21.3

• 13.7

• 18.7

• 12.4

What is the significance of using the Pythagorean theorem in these examples?

• To determine the type of triangle

• To find the area of the triangle

• To calculate the length of the hypotenuse

• To measure the base