Question

show A(3'0) b(4'5) c (-1'4)D(-2'-1) take in order are vertises of a rombus find is area

Answer 1

As AC and BD are diagonals....
length of AC = $\sqrt{(-1-3)^2+(4-0)^2}$
$= \sqrt{(-4)^2+(4)^2}$
$=\sqrt{32}$
length of BD = $\sqrt{(-2-4)^2+(-1-5)^2}$
$= \sqrt{(-6)^2+(-6)^2}$
$=\sqrt{72}$

Area of Rhombus = 1/2 (d1 * d2)
                             = 1/2 * √32 * √72
                             = 1/2 * √2304
                             = 1/2 * 48
                             = 24 sq units