Create a Triangle
Solve the system of equations.
The solution to the system is (
It's like magic!
The area of the triangle is
Find the area of a triangle with vertices (3, 6), (8, -1), and (-4, 5).
The area of the triangle is
The solution to the system is where these two lines intersect. These two lines cross at the coordinate (
Use Cramer's Rule to solve the linear system.
The solution to the system is (
The solution to the system is where these two lines intersect. These two lines cross at the coordinate (
Use Cramer's Rule to solve the linear system.
The solution to the system is (
Use our new "matrix magic trick" to solve the triangle area problem form #1&2.
What is the actual area of the triangle?
What is the difference between the actual and your result from #2?