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Shoelace Method
Shoelace Method
The shoelace method is an algorithm that can be used to compute the area of a polygon whose vertices are given as points on the cartesian plane.
The shoelace method is an algorithm that can be used to compute the area of a polygon whose vertices are given as points on the cartesian plane.
An useful point of note is that the point should be numbered in an anti-clockwise fashion otherwise the area will end up with a negative number.
An useful point of note is that the point should be numbered in an anti-clockwise fashion otherwise the area will end up with a negative number.
Test Yourself!
Test Yourself!
Use the applet below to check your understanding of the Shoelace Formula.
Use the applet below to check your understanding of the Shoelace Formula.
Test Yourself!
Test Yourself!
Check your understanding of using the Shoelace Method in the random question generator below.
Check your understanding of using the Shoelace Method in the random question generator below.
Explore! (Proof Part 1)
Explore! (Proof Part 1)
For a triangle OAB, where A(a, c) and B(b, d), the area of the triangle is given by ad - bc.
For a triangle OAB, where A(a, c) and B(b, d), the area of the triangle is given by ad - bc.
This can be verified with the applet below. You can watch the YouTube Video linked above for the algebraic proof based on this same idea.
This can be verified with the applet below. You can watch the YouTube Video linked above for the algebraic proof based on this same idea.
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