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Area of a General Quadrilateral

formula

Area of quadrilateral = `1/2` d (height1 + height2) where d denotes the length of diagonal.

notes

Area of a General Quadrilateral:

A general quadrilateral can be split into two triangles by drawing one of its diagonals. This "triangulation" helps us to find a formula for any general quadrilateral.

Area of quadrilateral ABCD = (area of ∆ABC) + (area of ∆ADC)

`= (1/2 xx "AC" xx h_1) + (1/2 xx "AC" xx h_2)`

= `1/2` × AC × (h1 + h2)

= `1/2` d (h1 + h2) where d denotes the length of diagonal AC.

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