Q. 304.8( 5 Votes )

Find the area of

Answer :


Mid-point formula is given by,


(x, y) =


O (x, y) = = (2, 5)


Fourth vertex D is given by,


(x, y) =


(2, 5) =


2 =


x1 = 4 – 2 – √3 = 2 – √3


5 =


y1 = 10 – 5 = 5


D (x1, y1) = (2 – √3, 5)


Area of parallelogram ABCD = Area (ΔABC) + Area (ΔACD)


Area of triangle (x1 (y2 – y3) + x2 (y3 – y1) + x3 (y1 – y2))


Area of ΔABC =


=


= sq. units


Area of ΔACD =


=


= sq. units


Area of parallelogram ABCD = (√3 + √3) sq. units


= 2√3 sq. units


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