VideoGist
ChannelsFeedback

08. Perímetro de un triángulo en el plano cartesiano (con gráfica y fórmula de distancia)

MateFacil

MateFacil

8 min, 8 sec

A detailed walkthrough on how to calculate the perimeter of triangle ABC formed by plotting points A(1,1), B(3,5), and C(4,2) on a Cartesian plane.

Summary

  • The video begins by plotting points A, B, and C on the Cartesian plane, then forming triangle ABC.
  • The perimeter of triangle ABC is found by calculating the distance between each pair of points (AB, AC, BC) using the distance formula.
  • Each distance calculation is shown step-by-step, simplifying the square root expressions and squaring differences of coordinates.
  • The video concludes with the exact and approximate decimal value of the perimeter of triangle ABC and poses a similar problem for the viewer to solve.

Chapter 1

Introduction to the Video

0:00 - 4 sec

Introduction to the mathematical concept of calculating triangle perimeters using coordinates.

Introduction to the mathematical concept of calculating triangle perimeters using coordinates.

  • The video opens with a greeting and an introduction to the channel Mate Fácil.
  • The topic is introduced as calculating the perimeter of triangle ABC.

Chapter 2

Plotting Points on Cartesian Plane

0:04 - 22 sec

Plotting points A, B, and C on the Cartesian plane to form triangle ABC.

Plotting points A, B, and C on the Cartesian plane to form triangle ABC.

  • Points A(1,1), B(3,5), and C(4,2) are drawn on a Cartesian plane.
  • The points are connected to form triangle ABC.

Chapter 3

Calculating Side AB

0:26 - 1 min, 12 sec

Using the distance formula to calculate the length of side AB of triangle ABC.

Using the distance formula to calculate the length of side AB of triangle ABC.

  • The distance formula is introduced and applied to calculate the length of side AB.
  • Step by step calculation shows that the length of AB is the square root of 20.

Chapter 4

Calculating Side AC

1:38 - 1 min, 46 sec

Using the distance formula to calculate the length of side AC of triangle ABC.

Using the distance formula to calculate the length of side AC of triangle ABC.

  • The distance from point A to point C is calculated using the distance formula.
  • It's shown that side AC also measures the square root of 10.

Chapter 5

Calculating Side BC

3:24 - 1 min, 40 sec

Using the distance formula to calculate the length of side BC of triangle ABC.

Using the distance formula to calculate the length of side BC of triangle ABC.

  • The distance from point B to point C is calculated, resulting in the square root of 10.
  • The video highlights that sides AC and BC are equal, making triangle ABC isosceles.

Chapter 6

Finalizing Perimeter Calculation

5:04 - 2 min, 13 sec

Summing up the side lengths to calculate the perimeter of triangle ABC.

Summing up the side lengths to calculate the perimeter of triangle ABC.

  • The perimeter of the triangle is calculated by adding the lengths of sides AB, AC, and BC.
  • The exact expression for the perimeter is given as well as its decimal approximation.

Chapter 7

Problem for the Viewer

7:17 - 13 sec

The video presents a new problem for the viewer to calculate the perimeter of another triangle.

The video presents a new problem for the viewer to calculate the perimeter of another triangle.

  • A new triangle MNP is introduced with points M(3,1), N(2,4), and P(-1,2).
  • The viewer is encouraged to calculate its perimeter using the method demonstrated in the video.