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secondary 3 | A Maths

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(x2 - x1)^2 + (y2 - y1)^2

to find the length of the straight line joining two points together.

The above formula is actually a more general expression of the Pythagoras Theorem, since x2 - x1 represents the “horizontal” distance between both points and y2 - y1 represents the “vertical” distance between both points.

Length of AB is the square root of

(xB - xA)^2 + (yB - yA)^2.

Length of BC is the square root of

(xC - xB)^2 + (yC - yB)^2.

Length of CA is the square root of

(xA - xC)^2 + (yA - yC)^2.

Add these three values for the perimeter of the triangle.

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