Glendale High School - MATH UNIT ACTIVUnit Activity_ Connecting Algebra and Geometry through Coordinates

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Area of a Triangle Finding the area of a triangle is straightforward if you know the length of the base and the height of the triangle. But is it possible to find the area of a triangle if you know ... only the coordinates of its vertices? In this task, you’ll find out. Consider ΔABC, whose vertices are A(2, 1), B(3, 3), and C(1, 6); let line segment AC represent the base of the triangle. Part A Find the equation of the line passing through B and perpendicular to . Answer: Characters used: 0 / 15000 Part B Let the point of intersection of with the line you found in part A be point D. Find the coordinates of point D. 2/18/2019 Unit Activity: Area of a Triangle Answer: Characters used: 0 / 15000 Part C Use the distance formula to find the length of the base and the height of ΔABC. Answer: Characters used: 0 / 15000 Part D Find the area of ΔABC. 2/18/2019 Unit Activity: Area of a Triangle Answer: Characters used: 0 / 15000 Part E Now check your work by using the GeoGebra geometry tool to repeat parts A through D. Open GeoGebra , and complete each step below. If you need help, follow these instructions for using GeoGebra. You will take a screenshot of your work when you are through, so be sure to clearly label your construction as you work. 1. Plot points A [Show More]

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