Show that the points A(– 3, 2), B(– 5, – 5), C(2, – 3) and D(4, 4) are the vertices of a rhombus. Find the area of this rhombus. HINT Area of a rhombus = 1/2 × (product of its diagonals).
AC = √{(2 – (– 3))2 + (– 32)2} = √{25 + 25} = √50 units
BD = √{(4 – (– 5))2 + (4 – (– 5))2} = √{81 + 81} = √162 units
Area = 1/2× (product of diagonals)
= 1/2 × √50 × √162
= 45 sq units
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