Question

Show that the points ( 4.-7), (-1,2), (8,5) and (5. - 4) taken in order are the vertices of a rhombus. Find its area,​

Answer 1

Answer:

240

Step-by-step explanation:

AC = √(8-4)²+(5-(-7)²

= √16+144

= √160

= 4√10

BD = √(5-(-1)²+(-4-2)²

= √36+36

= √72

= 6√2

Area of rhombus = Product of diagonals/2

= 4√10×6√2/2

= 12×20

= 240